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Table of contents

    18 February 2025, Volume 34 Issue 3 Previous issue   
    GENERAL
    Dynamical analysis and localized waves of the n-component nonlinear Schrödinger equation with higher-order effects
    Yu Lou(娄瑜) and Guoan Xu(许国安)
    Chin. Phys. B, 2025, 34 (3):  030201.  DOI: 10.1088/1674-1056/ada435
    Abstract ( 24 )   PDF (1947KB) ( 8 )  
    Under investigation is the $n$-component nonlinear Schrödinger equation with higher-order effects, which describes the ultrashort pulses in the birefringent fiber. Based on the Lax pair, the eigenfunction and generalized Darboux transformation are derived. Next, we construct several novel higher-order localized waves and classified them into three categories: (i) higher-order rogue waves interacting with bright/antidark breathers, (ii) higher-order breather fission/fusion, (iii) higher-order breather interacting with soliton. Moreover, we explore the effects of parameters on the structure, collision process and energy distribution of localized waves and these characteristics are significantly different from previous ones. Finally, the dynamical properties of these solutions are discussed in detail.
    Influence of conformity on the evolution of cooperation in games with sampling rules on networks
    Xianjia Wang(王先甲) and Qiaoyu He(何翘愚)
    Chin. Phys. B, 2025, 34 (3):  030202.  DOI: 10.1088/1674-1056/ada42e
    Abstract ( 10 )   PDF (1300KB) ( 1 )  
    We study the influence of conformity on the evolution of cooperative behavior in games under the learning method of sampling on networks. A strategy update rule based on sampling is introduced into the stag hunt game, where agents draw samples from their neighbors and then update their strategies based on conformity or inference according to the situation in the sample. Based on these assumptions, we present the state transition equations in the dynamic evolution of population cooperation, conduct simulation analysis on lattice networks and scale-free networks, and discuss how this mechanism affects the evolution of cooperation and how cooperation evolves under different levels of conformity in the network. Our simulation results show that blindly imitating the strategies of neighbors does not necessarily lead to rapid consensus in the population. Instead, rational inference through samples can better promote the evolution of the same strategy among all agents in the population. Moreover, the simulation results also show that a smaller sample size cannot reflect the true situation of the neighbors, which has a large randomness, and the size of the benefits obtained in cooperation determines the direction of the entire population towards cooperation or defection. This work incorporates the conforming behavior of agents into the game, uses the method of sampling for strategy updates and enriches the theory of evolutionary games with a more realistic significance.
    Riemann-Hilbert approach to the higher-order Kaup-Newell equation on the half line
    Hui Yu(于慧) and Ning Zhang(张宁)
    Chin. Phys. B, 2025, 34 (3):  030203.  DOI: 10.1088/1674-1056/ada54e
    Abstract ( 16 )   PDF (329KB) ( 1 )  
    The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line. We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem. The jump matrix for this problem is derived from the spectral matrix, which is calculated based on both the initial conditions and the boundary conditions. The jump matrix is explicitly dependent and expressed through the spectral functions, which are derived from the initial and boundary information, respectively. These spectral functions are interdependent and adhere to a so-called global relationship.
    Density distribution of ground state of one-dimensional Bose gas with dipole interaction
    Shuchang Hao(郝舒畅) and Yajiang Hao(郝亚江)
    Chin. Phys. B, 2025, 34 (3):  030301.  DOI: 10.1088/1674-1056/ada433
    Abstract ( 3 )   PDF (436KB) ( 0 )  
    Using the Bose-Fermi mapping method, we obtain the exact ground state wavefunction of one-dimensional (1D) Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit. Its ground state density distributions for both repulsive and attractive dipole interactions are exhibited. It is shown that in the case of the finite dipole interaction the density profiles do not change obviously with the increase of dipole interaction and display the typical shell structure of Tonks-Girardeau gases. As the repulsive dipole interaction is greatly strong, the density decreases at the center of the trap and displays a sunken valley. As the attractive dipole interaction increases, the density displays more oscillations and sharp peaks appear in the strong attraction limit, which mainly originate from the atoms occupying the low single particle levels.
    Coherence-protected operations in hybrid superconducting circuit-magnon system
    Le-Tian Zhu(朱乐天), Xing-Yu Zhu(朱行宇), Zhu-Cheng Yue(岳祝诚), Tao Tu(涂涛), and Chuan-Feng Li(李传锋)
    Chin. Phys. B, 2025, 34 (3):  030302.  DOI: 10.1088/1674-1056/ada550
    Abstract ( 13 )   PDF (2654KB) ( 1 )  
    Hybrid systems consisting of superconducting circuits and magnon systems are a promising platform for quantum technology. However, realizing high-fidelity magnon state preparation and manipulation remains an outstanding challenge due to the complexity of interactions and noise sources in hybrid systems. Here, we propose a coherence-preserving magnon state manipulation scheme. By engineering a superconducting-magnon coupling pulse and combining it with dynamical decoupling pulses, we design a composite pulse sequence. We demonstrate the manipulation and preparation of non-classical states of magnons with a fidelity of up to 98% under realistic conditions. These designs significantly improve the fidelity of manipulation and robustness to noise in hybrid systems compared to existing schemes. These results pave the way for practical applications of quantum magnonics platforms.
    Periodic modulation of adiabatic dynamics in non-reciprocal Landau-Zener systems
    Rong Chang(常蓉) and Sheng-Chang Li(栗生长)
    Chin. Phys. B, 2025, 34 (3):  030305.  DOI: 10.1088/1674-1056/adab64
    Abstract ( 14 )   PDF (3989KB) ( 2 )  
    The control of adiabatic dynamics is essential for quantum manipulation. We investigate the effects of both periodic modulating field and linear sweeping field on adiabatic dynamics based on a non-reciprocal Landau-Zener model with periodic modulation. We obtain adiabatic phase diagrams in the $(\omega,\delta)$ parameter space, where the adiabatic region is bounded by the modulating frequency $\omega$ greater than a critical value $\omega_{\rm c}$ and the non-reciprocal parameter $\delta$ less than one. The results show that the adiabaticity of the system is not sensitive to the modulating amplitude. We find that the critical modulating frequency can be expressed as a power function of the modulating period number or the sweeping rate. Our findings suggest that one can change the adiabatic region or improve the adiabaticity by adjusting the parameters of both the modulating and the sweeping fields, which provides an effective means to flexibly control the adiabatic dynamics of non-reciprocal systems.
    Gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity
    Tongzheng Wang(王同征), Yuhao Cui(崔宇昊), and Kai Lin(林恺)
    Chin. Phys. B, 2025, 34 (3):  030401.  DOI: 10.1088/1674-1056/ada42c
    Abstract ( 5 )   PDF (1997KB) ( 0 )  
    We apply the WKB approximation method, matrix method, and finite difference method to study the gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity. By comparing the spherically symmetric spacetime metric of charged black holes surrounded by quintessence fluid in Rastall gravity with that of general relativity, we can find that the modifications to general relativity in this modified gravity theory can be described by parameters such as $\lambda$, $Q$, and $C_{\rm a}$, etc. In four-dimensional spacetime, we investigate the impact of charge $Q$ and parameter $C_{\rm a}$ on the gravitational quasi-normal modes of charged black holes surrounded by quintessence field in Rastall gravity. The aim is to search for observational evidence of such black holes in astrophysical observations and, consequently, test the validity of Rastall theory. In five-dimensional (5D) spacetime, we study the impact of the parameter $C_{\rm a}$ on the gravitational quasi-normal modes of Rastall black holes surrounded by quintessence field and summarize the corresponding variation patterns.
    Abundant invariant solutions of (3+1)-dimensional combined pKP-BKP equation
    Hengchun Hu(胡恒春)† and Xu Xu(徐旭)
    Chin. Phys. B, 2025, 34 (3):  030501.  DOI: 10.1088/1674-1056/ada43b
    Abstract ( 17 )   PDF (1304KB) ( 1 )  
    Lie symmetry analysis is applied to a (3+1)-dimensional combined potential Kadomtsev-Petviashvili equation with B-type Kadomtsev-Petviashvili equation (pKP-BKP equation) and the corresponding similarity reduction equations are obtained with the different infinitesimal generators. Invariant solutions with arbitrary functions and constants for the (3+1)-dimensional pKP-BKP equation, including the lump solution, the periodic-lump solution, the two-kink solution, the breather solution and the lump-two-kink solution, have been studied analytically and graphically.
    Hybrid image encryption scheme based on hyperchaotic map with spherical attractors
    Zhitang Han(韩智堂), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊)
    Chin. Phys. B, 2025, 34 (3):  030503.  DOI: 10.1088/1674-1056/ada7db
    Abstract ( 12 )   PDF (9415KB) ( 1 )  
    Existing chaotic encryption schemes primarily focus on single types of images, making the design of hybrid image encryption schemes more suitable for practical applications. In this paper, a hyperchaotic map with a spherical attractor is proposed, which is constructed using spherical coordinates. Dynamical analyses reveal that the hyperchaotic map exhibits global hyperchaos and high complexity, making it capable of generating more complex chaotic sequences suitable for image encryption. A hybrid encryption scheme based on a hyperchaotic map is proposed for two-dimensional (2D) images, three-dimensional (3D) models, and 3D point clouds. Firstly, the pixels of 2D image and the coordinate data of 3D image are fused into a plaintext cube, which is combined with Hash-512 to obtain the initial value of the hyperchaotic map. Chaotic sequences are utilized for cube space internal confusion and dynamic cross-diffusion. The encrypted images demonstrate high information entropy, and the test results show that the encryption scheme effectively protects the images. The proposed hybrid image encryption scheme provides an efficient solution for securing various types of images.
    Impact of the chaotic semiconductor laser output power on time-delay-signature of chaos and random bit generation
    Chenpeng Xue(薛琛鹏), Wang Xu(王绪), Likai Zheng(郑利凯), Haoyu Zhang(张昊宇), Yanhua Hong, and Zuxing Zhang(张祖兴)
    Chin. Phys. B, 2025, 34 (3):  030504.  DOI: 10.1088/1674-1056/ada7dd
    Abstract ( 10 )   PDF (706KB) ( 2 )  
    We experimentally analyze the effect of the optical power on the time delay signature identification and the random bit generation in chaotic semiconductor laser with optical feedback. Due to the inevitable noise during the photoelectric detection and analog-digital conversion, the varying of output optical power would change the signal to noise ratio, then impact time delay signature identification and the random bit generation. Our results show that, when the optical power is less than $-14 $ dBm, with the decreasing of the optical power, the actual identified time delay signature degrades and the entropy of the chaotic signal increases. Moreover, the extracted random bit sequence with lower optical power is more easily pass through the randomness testing.
    ATOMIC AND MOLECULAR PHYSICS
    Three-body physics under dissipative spin-orbit coupling
    Xi Zhao(赵茜)†
    Chin. Phys. B, 2025, 34 (3):  033101.  DOI: 10.1088/1674-1056/ada43e
    Abstract ( 16 )   PDF (1435KB) ( 7 )  
    We study the trimer state in a three-body system, where two of the atoms are subject to Rashba-type spin-orbit coupling and spin-dependent loss while interacting spin-selectively with the third atom. The short-time conditional dynamics of the three-body system is effectively governed by a non-Hermitian Hamiltonian with an imaginary Zeeman field. Remarkably, the interplay of non-Hermitian single particle dispersion and the spin-selective interaction results in a Borromean state and an enlarged trimer phase. The stability of trimer state can be reflected by the imaginary part of trimer energy and the momentum distribution of trimer wave function. We also show the phase diagram of the three-body system under both real and imaginary Zeeman fields. Our results illustrate the interesting consequence of non-Hermitian spectral symmetry on the few-body level, which may be readily observable in current cold-atom experiments.
    Frequency shifts of high-order harmonics from ZnO crystals by chirped laser pulses
    Yu Zhao(赵宇), Xiao-Jin Liu(刘晓瑾), Shuang Wang(王爽), Xiao-Xin Huo(霍晓鑫), Yun-He Xing(邢云鹤), and Jun Zhang(张军)
    Chin. Phys. B, 2025, 34 (3):  033201.  DOI: 10.1088/1674-1056/ada9dc
    Abstract ( 6 )   PDF (4176KB) ( 1 )  
    We investigate theoretically the effects of chirped laser pulses on high-order harmonic generation (HHG) from solids. We find that the harmonic spectra display redshifts for the driving laser pulses with negative chirp and blueshifts for those with positive chirp, which is due to the change in the instantaneous frequency of the driving laser for different chirped pulses. The analysis of crystal-momentum-resolved (${\bm k}$-resolved) HHG reveals that the frequency shifts are equal for the harmonics generated by different crystal momentum channels. The frequency shifts in the cutoff region are larger than those in the plateau region. With the increase of the absolute value of the chirp parameters, the frequency shifts of HHG become more significant, leading to the shifts from odd- to even-order harmonics. We also demonstrate that the frequency shifts of harmonic spectra are related to the duration of the chirped laser field, but are insensitive to the laser intensity and dephasing time.
    Two-photon dissociation of BeH+ with a middle ultraviolet band laser
    Qian-Yu Zhang(张乾煜), Wen-Li Bai(白文丽), Zhi-Yuan Ao(敖致远), Wen-Cui Peng(彭文翠), Sheng-Guo He(何胜国), and Xin Tong(童昕)
    Chin. Phys. B, 2025, 34 (3):  033301.  DOI: 10.1088/1674-1056/ada436
    Abstract ( 4 )   PDF (582KB) ( 0 )  
    Two-photon dissociation of BeH$^{+}$ ions is studied by detecting the fluorescence changes of Be$^{+}$-BeH$^{+}$ bi-component Coulomb crystal in a linear Paul trap. BeH$^{+}$ ions generated by an exothermic reaction between electronically excited Be$^{+}$ ions and residual H$_{2}$ in the vacuum chamber are photon-dissociated with two photons scanning over the range of 201 nm to 208 nm. Our experiment provides a novel method to maintain the number of Be$^{+}$ ions stable in a Coulomb crystal with a middle ultraviolet band dissociation laser. This two-photon dissociation method extends the wavelength range of the dissociation laser for BeH$^{+}$ compared to the one-photon dissociation, and the method can be utilized to all alkaline earth atomic ions which require suppression of the reaction with residual H$_{2}$ gas in vacuum.
    Channel competition in dissociation of ammonia clusters (n ≤ 5) induced by femtosecond laser fields
    Tao Yang(杨涛), Xinyu Zhang(张馨予), Xing Li(李兴), Wankai Li(李万凯), Menghao Wei(卫孟昊), Dongdong Zhang(张栋栋), Lanhai He(赫兰海), and Dajun Ding(丁大军)
    Chin. Phys. B, 2025, 34 (3):  033302.  DOI: 10.1088/1674-1056/ada552
    Abstract ( 6 )   PDF (620KB) ( 0 )  
    We investigated the ionization and dissociation processes of ammonia clusters ranging from dimer to pentamer induced by 800-nm femtosecond laser fields. Time-of-flight (TOF) mass spectra of the ammonia clusters were recorded over a range of laser intensities from 2.1$\times10^{12}$ W/$\text{cm}^{2}$ to 5.6$\times10^{12}$ W/$\text{cm}^{2}$. The protonated ion signals dominate the spectra, which is consistent with the stability of the geometric structures. The ionization and dissociation channels of ammonia clusters are discussed. The competition and switching among observed dissociation channels are revealed by analyzing the variations in the relative ionic yields of specific protonated and unprotonated clusters under different laser intensities. These results indicate that the ionization of the neutral multiple-ammonia units, produced through the dissociation of cluster ions, may start to contribute, as well as the additional processes to consume protonated ions and/or produce unprotonated ions induced by the femtosecond laser fields when the laser intensity is above $\sim4\times10^{12} \text{W/cm}^2$. These findings provide deeper insights into the ionization and dissociation dynamics in multi-photon ionization experiments involving ammonia clusters.
    Observation of Josephson effect in 23Na spinor Bose-Einstein condensates
    Yong Qin(秦永), Xin Wang(王鑫), Jun Jian(蹇君), Wenliang Liu(刘文良), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Jie Ma(马杰), Liantuan Xiao(肖连团), and Suotang Jia(贾锁堂)
    Chin. Phys. B, 2025, 34 (3):  033701.  DOI: 10.1088/1674-1056/ada42f
    Abstract ( 10 )   PDF (1020KB) ( 2 )  
    The Josephson effect, an important quantum supercurrent phenomenon, has been extensively studied in superconductors and superfluids. In this paper, we investigate the rich physics of one-dimensional Josephson junctions in a red-detuned optical lattice with sodium (Na) quantum gas. A one-dimensional Josephson array is formed by setting up an optical lattice using a red-detuned laser. By characterizing the dependence of Josephson oscillations of the lattice depth, we experimentally demonstrate the Josephson current. The lattice depth is controlled by altering the lattice power, and our observations are consistent with theoretical predictions. These findings offer valuable insights into quantum coherent transport and the intricate dynamics inherent to superfluidity.
    ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS
    Influence of surface contamination on electric field distribution of insulators
    Xingcai Li(李兴财), Yingge Liu(刘滢格), and Juan Wang(王娟)
    Chin. Phys. B, 2025, 34 (3):  034101.  DOI: 10.1088/1674-1056/ada54d
    Abstract ( 2 )   PDF (2778KB) ( 0 )  
    Atmospheric particle adsorption on insulator surfaces, coupled with humid environments, significantly affects contamination flashover, necessitating a clear understanding of the electric field distribution on insulator surfaces with adsorbed particles. This is crucial for accurately assessing insulator safety and informing critical decision-making. Although previous research has demonstrated that particle arrangement significantly influences the electric field distribution around transmission lines, an in-depth analysis of its effects on insulator surfaces remains lacking. To address this gap, this study establishes a composite insulator model to examine how three types of spherical contamination layers affect the electric field distribution on insulator surfaces under varying environmental conditions. The results reveal that in dry environments, the electric field strength at the apex of single-particle contamination layers increases with the particle size and relative permittivity. For the double-particle contamination layers, the electric field intensity on the insulator surface decreases as the particle spacing increases, and larger particles are more likely to attract smaller charged particles. For triple-particle contamination layers arranged in a triangular pattern, the maximum surface field strength is nearly double that of the chain-arranged particles. Furthermore, within the chain-arranged triple-particle contamination layers, a large-small-large size arrangement has a more pronounced impact on the surface electric field than a small-large-small size arrangement. In humid environments, the surface electric field strength of insulators decreases with increasing contamination levels. These findings are of significant theoretical and practical importance for ensuring the safe operation of power systems.
    An adjustment-free laser resonator based on micron-scale corner cube array
    Pengyuan Chang(常鹏媛), Xinrong Huang(黄欣荣), Caolei Fu(傅曹雷), Aiping Liu(刘爱萍), Duo Pan(潘多), Zhiyang Wang(王志洋), and Jingbiao Chen(陈景标)
    Chin. Phys. B, 2025, 34 (3):  034201.  DOI: 10.1088/1674-1056/ada434
    Abstract ( 20 )   PDF (1226KB) ( 1 )  
    The topic of improving the mechanical stability of external cavity diode lasers (ECDLs) has recently attracted widespread attention and interest. The use of corner-cube-array (CCA)-based resonators provides a potential solution for this purpose, although continuous oscillation at super large incident angle remains challenging. In this work, we employ the CCA resonator to generate continuous oscillation within ±20° angular misalignment of cavity mirror in experiment. On the basis of retroreflection theory, the retroreflectivity of a CCA is analyzed by using optical simulation software. Notably, the experiment verifies the advantage of using a CCA over a plane mirror in laser resonator, thereby providing a promising approach for ECDLs. The threshold characteristic curves measured at different incident angles in the experiment verify that the CCA possesses an obvious anti-angle misalignment performance. This research introduces an alternative solution of using CCA resonator instead of parallel plane cavity, thereby realizing an adjustment-free ECDL with enhanced mechanical stability.
    Symmetry-protected and Brillouin zone folding driven bound states in the continuum in dielectric nanorod arrays for efficient third harmonic generation
    Wen-Jing Wang(王文静), Shi-Jie Liang(梁世杰), Jia-Qi Zou(邹家祺), Yan-Yan Huo(霍燕燕), and Ting-Yin Ning(宁廷银)
    Chin. Phys. B, 2025, 34 (3):  034202.  DOI: 10.1088/1674-1056/ada2f0
    Abstract ( 19 )   PDF (1316KB) ( 3 )  
    Two types of bound states in continuum (BICs), symmetry-protected and Brillouin zone folding driven, are identified in hollow Si nanorod arrays. By modulating the direction and distance of the air holes from the center of the nanorods, it is possible to achieve either a single quasi-BIC or three quasi-BICs. The transmission spectra exhibit ultra-narrow lines, and the quasi-BICs demonstrate ultra-high $Q$ factors. Additionally, efficient third-harmonic generation occurs at low pump intensities. The results indicate that the proposed nanostructures of two types of BICs with a flexible modulation hold great potential applications for nonlinear photonic devices.
    Pure-quartic soliton molecules in normal fourth-order dispersion regimes based on spectral filtering effect
    Han-Yang Shen(申翰阳), Rui-Bo Lan(蓝睿博), Hong-Bin Hu(胡洪彬), Yang Li(李阳), Rui Zhou(周瑞), and Zu-Xing Zhang(张祖兴)†
    Chin. Phys. B, 2025, 34 (3):  034203.  DOI: 10.1088/1674-1056/ada43c
    Abstract ( 17 )   PDF (659KB) ( 2 )  
    Recent theoretical verification of self-similar and dissipative pure-quartic solitons (PQSs) emphasized the similarity between PQS lasers and conventional fiber lasers, but the unique equilibrium mechanism hinders the formation of PQS molecules in normal fourth-order dispersion (FOD) regimes. In this paper, we investigated the effect of filters on shaping PQSs in normal FOD based on a passively mode-locked fiber laser model. A bandpass filter eliminates the time pedestal of dissipative PQSs, thus realizing a multi-pulsing state. When the filter bandwidth is appropriate, the effective spectral filtering effect can lower the pulse splitting threshold and enable the coherent restoration from chaotic PQSs to PQS molecules. Additionally, changing the central wavelength of the filter can generate PQSs and PQS molecules with asymmetric intensity distributions. These results are important guides for the manipulation of PQSs and the construction of high repetition-frequency fiber lasers.
    Passive on-chip isolators based on the thin-film lithium niobate platform
    Jiacheng Liu(刘嘉成), Gongyu Xia(夏功榆), Qilin Hong(洪琦琳), Pingyu Zhu(朱枰谕), Kai-Kai Zhang(张凯凯), Keyu Xia(夏可宇), Ping Xu(徐平), Shiqiao Qin(秦石乔), and Zhihong Zhu (朱志宏)
    Chin. Phys. B, 2025, 34 (3):  034204.  DOI: 10.1088/1674-1056/ada2ef
    Abstract ( 9 )   PDF (683KB) ( 1 )  
    Optical isolators, the photonic analogs of electronic diodes, are essential for ensuring the unidirectional flow of light in optical systems, thereby mitigating the destabilizing effects of back reflections. Thin-film lithium niobate (TFLN), hailed as "the silicon of photonics," has emerged as a pivotal material in the realm of chip-scale nonlinear optics, propelling the demand for compact optical isolators. We report a breakthrough in the development of a fully passive, integrated optical isolator on the TFLN platform, leveraging the Kerr effect to achieve an impressive 10.3 dB of isolation with a minimal insertion loss of 1.87 dB. Further theoretical simulations have demonstrated that our design, when applied to a microring resonator with a $Q$ factor of 5$\times10^{6}$, can achieve 20 dB of isolation with an input power of merely 8 mW. This advancement underscores the immense potential of lithium niobate-based Kerr-effect isolators in propelling the integration and application of high-performance on-chip lasers, heralding a new era in integrated photonics.
    Controlled propagation and particle manipulation of off-axis-rotating elliptical Gaussian beams in strong nonlocal media
    Rong-Quan Chen(陈荣泉), Rui-Lin Xiao(肖瑞林), Wei Wang(王伟), Xi-Xi Chu(储茜茜), Yu-Qing Song(宋雨晴), Xu-Dong Hu(胡旭东), and Ming Chen(陈明)
    Chin. Phys. B, 2025, 34 (3):  034205.  DOI: 10.1088/1674-1056/ada9dd
    Abstract ( 14 )   PDF (1925KB) ( 3 )  
    Off-axis-rotating elliptical Gaussian beams (OareGB) oblique incidence in strong nonlocal medium exhibit novel propagation properties. The analytical expressions of semi-axial beam widths, and center-of-mass trajectory equations for transmitting off-axis-rotating elliptical Gaussian beams in strong nonlocal media are obtained using the $ABCD$ transfer matrix method. The study revealed that the trajectory of the mass's center in the cross-section can be controlled by changing the sizes of the OareGB parameters $c$, $d$, $\zeta$, and $f$. The gradient force of the light field causes the spot region to form a spatial potential well in the media, and this spatial potential well can effectively capture nanoparticles. The particles captured by the light field can move along with the beam, realizing the effective manipulation of the particle trajectory. These laws may be applied to modulating the propagation path of light beams and optical tweezer technology.
    Topological transmission and topological corner states combiner in all-dielectric honeycomb valley photonic crystals
    Ming Sun(孙铭), Xiao-Fang Xu(许孝芳), Yun-Feng Shen(沈云峰), Ya-Qing Chang(常雅箐), and Wen-Ji Zhou(周文佶)
    Chin. Phys. B, 2025, 34 (3):  034206.  DOI: 10.1088/1674-1056/ada9d9
    Abstract ( 7 )   PDF (2711KB) ( 0 )  
    We study the topological states (TSs) of all-dielectric honeycomb valley photonic crystals (VPCs). Breaking the space inversion symmetry of the honeycomb lattice by varying the filling ratio of materials for circular ring dielectric columns in the unit cell, which triggers topological phase transitions and thus achieves topological edge states (TESs) and topological corner states (TCSs). The results demonstrate that this structure has efficient photon transmission characteristics and anti-scattering robustness. In particular, we have found that changing the type of edge splicing between VPCs with different topological properties produces a change in the frequency of TCSs, and then based on this phenomenon, we have used a new method of adjusting only the type of edge splicing of the structure to design a novel TCSs combiner that can integrate four TCSs with different frequencies. This work not only expands the variety and number of unexplored TCSs that may exist in a fixed photonic band gap and can be rationalized to be selectively excited in the fixed configuration. Our study provides a feasible pathway for the design of integrated optical devices in which multiple TSs coexist in a single photonic system.
    A WKB method based on parabolic cylinder function for very-low-frequency sound propagation in deep ocean
    Jian-Kang Zhan(詹建康), Sheng-Chun Piao(朴胜春), Li-Jia Gong(龚李佳), Dong Yang(董阳), Yong-Chao Guo(郭永超), and Guang-Xue Zheng(郑广学)
    Chin. Phys. B, 2025, 34 (3):  034301.  DOI: 10.1088/1674-1056/ada886
    Abstract ( 6 )   PDF (1934KB) ( 0 )  
    A Wentzel-Kramers-Brillouin (WKB) method is introduced for obtaining a uniform asymptotic solution for underwater sound propagation at very low frequencies in deep ocean. The method utilizes a mode sum and employs the reference functions method to describe the solution to the depth-separated wave equation approximately using parabolic cylinder functions. The conditions for the validity of this approximation are also discussed. Furthermore, a formula that incorporates waveguide effects for the modal group velocity is derived, revealing that boundary effects at very low frequencies can have a significant impact on the propagation characteristics of even low-order normal modes. The present method not only offers improved accuracy compared to the classical WKB approximation and the uniform asymptotic approximation based on Airy functions, but also provides a wider range of depth applicability. Additionally, this method exhibits strong agreement with numerical methods and offers valuable physical insights. Finally, the method is applied to the study of very-low-frequency sound propagation in the South China Sea, leading to sound transmission loss predictions that closely align with experimental observations.
    Motion of a rigid particle in the lid-driven cavity flow
    Fan Yang(杨帆), Zhe Yan(闫喆), Wencan Wang(汪文灿), and Ren Shi(施任)
    Chin. Phys. B, 2025, 34 (3):  034701.  DOI: 10.1088/1674-1056/ada438
    Abstract ( 19 )   PDF (1633KB) ( 4 )  
    The motion of an elliptical rigid particle in a lid-driven cavity flow was numerically simulated using the immersed boundary lattice Boltzmann method (IB-LBM). The effects of the particle’s initial orientation angle, initial position, aspect ratio, and size on the motion characteristics were investigated. The computational results indicate that the particle’s motion undergoes two distinct stages: a starting stage that involves moving from the release position to a limit cycle, and a periodic stage that involves moving on the limit cycle. The initial orientation of the particle has a minimal impact on both stages of motion. In contrast, the time it takes for the particle to reach the limit cycle may vary depending on the release position. Furthermore, particles with a larger aspect ratio exhibit a greater maximum velocity magnitude; an increase in particle size causes the particle trajectory to contract more toward the center of the cavity, decreasing the centrifugal force experienced by the particle.
    COMPUTATIONAL PROGRAMS FOR PHYSICS
    Impurity sputtering model for ICRF edge plasma-surface interactions
    Quan-Zhi Zhang(张权治), Ze-Xuan Liu(刘泽璇), Fang-Fang Ma(马方方), Lei-Yu Zhang(张雷宇), and Nosir Matyakubov
    Chin. Phys. B, 2025, 34 (3):  035201.  DOI: 10.1088/1674-1056/ada437
    Abstract ( 14 )   PDF (1058KB) ( 1 )  
    One of the primary concerns associated with ion cyclotron resonance heating (ICRH) is the enhanced impurity sputtering resulting from radio frequency (RF) sheath formation near plasma-facing components (PFCs), such as limiters. Developing a sputtering model integrated with RF sheath simulations allows for a more comprehensive understanding of the kinetic behavior of incident ions and their interactions with the limiter surface. We accordingly develop an impurity sputtering model “PMSAD”, which computes the sputtering yield (amount of impurity) on the limiter surface based on incident ion characteristics and predicts the spatial distribution of impurities. The model provides a robust method for understanding and analyzing the impurity sputtering process from limiter surfaces, which is crucial for preventing ICRH surface erosion and reducing edge and core plasma contamination.
    PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES
    Simulation on atmospheric pressure barrier discharge with varying relative position between two wavy dielectric surfaces
    Xue-Chen Li(李雪辰), Wen-Jie Wan(万文杰), Xiao-Qian Liu(刘晓倩), Mo Chen(陈墨), Kai-Yue Wu(吴凯玥), Jun-Xia Ran(冉俊霞), Xue-Xia Pang(庞学霞), Xue-Xue Zhang(张雪雪), Jia-Cun Wu(武珈存), Peng-Ying Jia(贾鹏英), and Hui Sun(孙辉)
    Chin. Phys. B, 2025, 34 (3):  035202.  DOI: 10.1088/1674-1056/ada43d
    Abstract ( 8 )   PDF (1064KB) ( 1 )  
    As a popular approach to producing atmospheric pressure non-thermal plasma, dielectric barrier discharge (DBD) has been extensively used in various application fields. In this paper, DBD with wavy dielectric layers is numerically simulated in atmospheric pressure helium mixed with trace nitrogen based on a fluid model. With varying relative position (phase difference ($\Delta \varphi $)) of the wavy surfaces, there is a positive discharge and a negative discharge per voltage cycle, each of which consists of a pulse stage and a hump stage. For the pulse stage, maximal current increases with increasing $\Delta \varphi $. Results show that DBD with the wavy surfaces appears as discrete micro-discharges (MDs), which are self-organized to different patterns with varying $\Delta \varphi $. The MDs are vertical and uniformly-spaced with $\Delta \varphi =$0, which are self-organized in pairs with $\Delta \varphi =\pi /4$. These MD pairs are merged into some bright wide MDs with $\Delta \varphi =\pi /2$. In addition, narrow MDs appear between tilted wide MDs with $\Delta \varphi=3\pi /4$. With $\Delta \varphi =\pi $, the pattern is composed of wide and narrow MDs, which are vertical and appear alternately. To elucidate the formation mechanism of the patterns with different $\Delta \varphi $, temporal evolutions of electron density and electric field are investigated for the positive discharge. Moreover, surface charge on the wavy dielectric layers has also been compared with different $\Delta \varphi $.
    SPECIAL TOPIC — Structures and properties of materials under high pressure
    Structural and transport properties of (Mg,Fe)SiO3 at high temperature and high pressure
    Shu Huang(黄澍), Zhiyang Xiang(向志洋), Shi He(何适), Luhan Yin(尹路寒), Shihe Zhang(张时赫), Chen Chen(陈晨), Kaihua He(何开华), and Cheng Lu(卢成)
    Chin. Phys. B, 2025, 34 (3):  036102.  DOI: 10.1088/1674-1056/ada759
    Abstract ( 10 )   PDF (473KB) ( 1 )  
    (Mg,Fe)SiO$_3$ is primarily located in the mantle and has a substantial impact on geophysical and geochemical processes. Here, we employ molecular dynamics simulations to investigate the structural and transport properties of (Mg,Fe)SiO$_3$ with varying iron contents at temperatures up to 5000 K and pressures up to 135 GPa. We thoroughly examine the effects of pressure, temperature, and iron content on the bond lengths, coordination numbers, viscosities, and electrical conductivities of (Mg,Fe)SiO$_3$. Our calculations indicate that the increase of pressure leads to the shortening of the O-O and Mg-O bond lengths, while the Si-O bond lengths exhibit the initial increase with pressure up to 40 GPa, after which they are almost unchanged. The coordination numbers of Si transition from four-fold to six-fold and eventually reach eight-fold coordination at 135 GPa. The enhanced pressure causes the decrease of the diffusion coefficients and the increase of the viscosities of (Mg,Fe)SiO$_3$. The increased temperatures slightly decrease the coordination numbers and viscosities, as well as obviously increase the diffusion coefficients and electrical conductivities of (Mg,Fe)SiO$_3$. Additionally, iron doping facilitates the diffusion of Si and O, reduces the viscosities, and enhances the electrical conductivities of (Mg,Fe)SiO$_3$. These findings advance fundamental understanding of the structural and transport properties of (Mg,Fe)SiO$_3$ under high temperature and high pressure, which provide novel insights for unraveling the complexities of geological processes within the Earth's mantle.
    First-principles insights into the high-pressure stability and electronic characteristics of molybdenum nitride
    Tao Wang(王涛), Ming-Hong Wen(温铭洪), Xin-Xin Zhang(张新欣), Wei-Hua Wang(王伟华), Jia-Mei Liu(刘佳美), Xu-Ying Wang(王旭颖), and Pei-Fang Li(李培芳)
    Chin. Phys. B, 2025, 34 (3):  036104.  DOI: 10.1088/1674-1056/adab66
    Abstract ( 3 )   PDF (1142KB) ( 0 )  
    Molybdenum nitride, renowned for its exceptional physical and chemical properties, has garnered extensive attention and research interest. In this study, we employed first-principles calculations and the CALYPSO structure prediction method to conduct a comprehensive analysis of the crystal structures and electronic properties of molybdenum nitride (Mo$_{x}$N$_{1-x}$) under high pressure. We discovered two novel high-pressure phases: Imm2-MoN$_{3}$ and Cmmm-MoN$_{4}$, and confirmed their stability through the analysis of elastic constants and phonon dispersion curves. Notably, the MoN$_{4}$ phase, with its high Vickers hardness of 36.9 GPa, demonstrates potential as a hard material. The results of this study have broadened the range of known high-pressure phases of molybdenum nitride, providing the groundwork for future theoretical and experimental researches.
    CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
    Atomic origin of minor alloying element effect on glass forming ability of metallic glass
    Shan Zhang(张珊), Qingan Li(李庆安), Yong Yang(杨勇), and Pengfei Guan(管鹏飞)
    Chin. Phys. B, 2025, 34 (3):  036105.  DOI: 10.1088/1674-1056/ada756
    Abstract ( 7 )   PDF (1880KB) ( 0 )  
    The glass-forming ability (GFA) of metallic glasses is a key scientific challenge in their development and application, with compositional dependence playing a crucial role. Experimental studies have demonstrated that the addition of specific minor elements can greatly enhance the GFA of parent alloys, yet the underlying mechanism remains unclear. In this study, we use the ZrCuAl system as a model to explore how the addition of minor Al influences the crystallization rate by modulating the properties of the crystal-liquid interface, thereby affecting the GFA. The results reveal that the minor addition of Al significantly reduces the crystal growth rate, a phenomenon not governed by particle density fluctuations at the interface. The impact of minor element additions extends beyond a modest increase in crystal-unfavorable motifs in the bulk supercooled liquid. More importantly, it leads to a significant enrichment of these motifs at the crystal-supercooled liquid interface, forming a dense topological network of crystal-unfavorable structures that effectively prevent the growth of the crystalline interface and enhance GFA. Our results provide valuable insights for the design and development of high-performance metallic glasses.
    A thermodynamically complete multi-phase equation of state for dense and porous metals at wide ranges of temperature and pressure
    Yanhong Zhao(赵艳红)†, Li-Fang Wang(王丽芳)†, Qili Zhang(张其黎), Le Zhang(张乐), Hongzhou Song(宋红州), Xingyu Gao(高兴誉), Bo Sun(孙博), Haifeng Liu(刘海风), and Haifeng Song(宋海峰)‡
    Chin. Phys. B, 2025, 34 (3):  036401.  DOI: 10.1088/1674-1056/ada54b
    Abstract ( 8 )   PDF (489KB) ( 2 )  
    A thermodynamically complete multi-phase equation of state (EOS) applicable to both dense and porous metals at wide ranges of temperature and pressure is constructed. A standard three-term decomposition of the Helmholtz free energy as a function of specific volume and temperature is presented, where the cold component models both compression and expansion states, the thermal ion component introduces the Debye approximation and melting entropy, and the thermal electron component employs the Thomas-Fermi-Kirzhnits (TFK) model. The porosity of materials is considered by introducing the dynamic porosity coefficient $\alpha $ and the constitutive $P$-$\alpha $ relation, connecting the thermodynamic properties between dense and porous systems, allowing for an accurate description of the volume decrease caused by void collapse while maintaining the quasi-static thermodynamic properties of porous systems identical to the dense ones. These models enable the EOS applicable and robust at wide ranges of temperature, pressure and porosity. A systematic evaluation of the new EOS is conducted with aluminum (Al) as an example. 300 K isotherm, shock Hugoniot, as well as melting curves of both dense and porous Al are calculated, which shows great agreements with experimental data and validates the effectiveness of the models and the accuracy of parameterizations. Notably, it is for the first time Hugoniot $P$-$\sigma $ curves up to 10$^{6}$ GPa and shock melting behaviors of porous Al are derived from analytical EOS models, which predict much lower compression limit and shock melting temperatures than those of dense Al.
    SPECIAL TOPIC — Structures and properties of materials under high pressure
    Insights to unusual antiferromagnetic behavior and exchange coupling interactions in Mn23C6
    Ze-Kun Yu(于泽坤), Chao Zhou(周超), Kuo Bao(包括), Zhao-Qing Wang(王兆卿), En-Xuan Li(李恩萱), Jin-Ming Zhu(朱金铭), Yuan Qin(秦源), Yu-Han Meng(孟钰涵), Pin-Wen Zhu(朱品文), Qiang Tao(陶强), and Tian Cui(崔田)
    Chin. Phys. B, 2025, 34 (3):  037101.  DOI: 10.1088/1674-1056/adaadd
    Abstract ( 5 )   PDF (4804KB) ( 0 )  
    We report the structural, mechanical and electromagnetic properties of the intermetallic compound Mn$_{23}$C$_{6}$. The bulk Mn$_{23}$C$_{6}$ sample was synthesized using high temperature high pressure quenching method (HTHPQM), and investigated in detail by x-ray diffraction, electron microscope, magnetization and electrical resistivity measurements, etc. First-principles calculation based on density functional theory ab intio simulation was carried out to calculate the bonding and electromagnetic properties of Mn$_{23}$C$_{6}$. Based on our experimental and simulated results, the Mn$_{23}$C$_{6}$ in this work is single phase of a faced-centered cubic structure with space group Fm-3$m$ (No. 225). Determined by SEM and TEM, the bulk sample consists of monocrystal Mn$_{23}$C$_{6}$ crystals with 2-15 μm grain sizes, it is the quick quenching method in the synthesizing process that brings such small crystal grain size. Archimedes method gives its density of 7.14 g/cm$^{3}$, 95.74% of its theoretically calculated density 7.458 g/cm$^{3}$. Owing to the abundant Mn 3d electrons and a framework of strongly linked Mn atoms in Mn$_{23}$C$_{6}$, the electrical conductivity is up to $8.47\times 10^{-4}$ $\Omega \cdot $m, which shows that Mn$_{23}$C$_{6}$ is a good conductor. Our magnetic susceptibility analyses reveal a magnetization peak in the $M$-$T$ curve at 104 K, combined with the $M$-$H$ curve and Curie-Weiss law, this peak usually means the transformation between paramagnetic and antiferromagnetic orders. To gain an insight into the mechanism of the magnetic phase transition, we calculated the magnetic properties, and the results show that different from normal antiferromagnetic order, the magnetic orders in Mn$_{23}$C$_{6}$ consist of three parts, the direct ferromagnetic and antiferromagnetic exchange coupling interactions between Mn atoms, and the indirect antiferromagnetic super-exchange interaction between Mn and C atoms. Therefore, we reveal that the Mn$_{23}$C$_{6}$ is a complex magnetic competition system including different magnetic orders and interactions, instead of the normal long-range antiferromagnetic order.
    RAPID COMMUNICATION
    Electronic structure and carrier mobility of BSb nanotubes
    Lantian Xue(薛岚天), Chennan Song(宋晨楠), Miaomiao Jian(见苗苗), Qiang Xu(许强), Yuhao Fu(付钰豪), Pengyue Gao(高朋越), and Yu Xie(谢禹)
    Chin. Phys. B, 2025, 34 (3):  037304.  DOI: 10.1088/1674-1056/adacd3
    Abstract ( 7 )   PDF (875KB) ( 0 )  
    High-mobility semiconductor nanotubes have demonstrated great potential for applications in high-speed transistors, single-charge detection, and memory devices. Here we systematically investigated the electronic properties of single-walled boron antimonide (BSb) nanotubes using first-principles calculations. We observed that rolling the hexagonal boron antimonide monolayer into armchair (ANT) and zigzag (ZNT) nanotubes induces compression and wrinkling effects, significantly modifying the band structures and carrier mobilities through band folding and $\pi^*$-$\sigma^*$ hybridization. As the chiral index increases, the band gap and carrier mobility of ANTs decrease monotonically, where electron mobility consistently exceeds hole mobility. In contrast, ZNTs exhibit a more complex trend: the band gap first increases and then decreases, and the carrier mobility displays oscillatory behavior. In particular, both ANTs and ZNTs could exhibit significantly higher carrier mobilities compared to hexagonal monolayer and zinc-blende BSb, reaching $10^3$-$10^7$ cm$^2\cdot$V$^{-1}\cdot$s$^{-1}$. Our findings highlight strong curvature-induced modifications in the electronic properties of single-walled BSb nanotubes, demonstrating the latter as a promising candidate for high-performance electronic devices.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Magnetic flux transitions in two-band single-junction superconductors with time-reversal symmetry breaking
    Guo Wang(王果), Tian-Yi Han(韩天意), and Hai Huang(黄海)
    Chin. Phys. B, 2025, 34 (3):  037401.  DOI: 10.1088/1674-1056/ada431
    Abstract ( 22 )   PDF (474KB) ( 9 )  
    Based on Ginzburg-Landau theory, we investigate the electromagnetic properties of two-band superconductors with broken time-reversal symmetry. We propose an apparatus of a superconducting ring integrated with a microbridge structure to probe the peculiar topological excitations in the chiral system. The phase difference of two order parameters in the superconductor satisfies the double sine-Gordon equation, and a linear relationship between the phase difference at the two ends of the junction and the total magnetic flux in the ring can be obtained. Then with the Josephson current-phase relation, we establish the dependence of the circulating current and magnetic flux on the applied external magnetic field. Our results show that this single-junction system will exhibit the irreversible behaviors and two different types of fractional flux transitions can clearly manifest the time-reversal symmetry breaking in two-component superconductors.
    SPECIAL TOPIC — Structures and properties of materials under high pressure
    Exploring Lifshitz transition and superconductivity in 3R-NbS2 under pressure
    Kun Chen(陈坤), Xindeng Lv(吕心邓), Simin Li(李思敏), Yanping Huang(黄艳萍), and Tian Cui(崔田)
    Chin. Phys. B, 2025, 34 (3):  037403.  DOI: 10.1088/1674-1056/adacd2
    Abstract ( 14 )   PDF (1031KB) ( 2 )  
    The interplay between electronic topological phase transitions and superconductivity in the field of condensed matter physics has consistently captivated researchers. Here we have succeeded in modulating the Lifshitz transition by pressure and realized superconductivity. At 25.7 GPa, superconductivity with a transition temperature of 1.9 K has been observed in 3R-NbS$_{2}$. The Hall coefficient changes from negative to positive at 14 GPa, indicating a Lifshitz transition in 3R-NbS$_{2}$, and the carrier concentration continues to increase with increasing pressure. X-ray diffraction results indicate that the appearance of superconductivity cannot be attributable to structural transitions. Based on theoretical calculations, the emergence of a new band is attributed to the Lifshitz transition and the new band coincides with the Fermi surface at the pressure of 30 GPa. These findings provide new insights into the relationship between the Lifshitz transition and superconductivity.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Electronic structure and coexisting topological states in ferromagnetic and antiferromagnetic phases of MnBi2Te4 quantum wires
    Jian Li(李健), Zhu-Cai Yin(尹柱财), Qing-Xu Li(李清旭), and Jia-Ji Zhu(朱家骥)
    Chin. Phys. B, 2025, 34 (3):  037501.  DOI: 10.1088/1674-1056/ada551
    Abstract ( 11 )   PDF (3097KB) ( 1 )  
    We theoretically investigate the electronic structure of cylindrical magnetic topological insulator quantum wires in $\mathrm{MnBi_{2}Te_{4}}$. Our study reveals the emergence of topological surface states in the ferromagnetic phase, characterized by spin-polarized subbands resulting from intrinsic magnetization. In the antiferromagnetic phase, we identify the coexistence of three distinct types of topological states, encompassing both surface states and central states.
    INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    Turing instability-induced oscillations in coupled reaction-diffusion systems
    Nan Wang(王楠), Yuan Tong(仝源), Fucheng Liu(刘富成), Xiaoxuan Li(李晓璇), Yafeng He(贺亚峰), and Weili Fan(范伟丽)
    Chin. Phys. B, 2025, 34 (3):  038201.  DOI: 10.1088/1674-1056/ada42b
    Abstract ( 21 )   PDF (1249KB) ( 4 )  
    A new type of localized oscillatory pattern is presented in a two-layer coupled reaction-diffusion system under conditions in which no Hopf instability can be discerned in either layer. The transitions from stationary patterns to asynchronous and synchronous oscillatory patterns are obtained. A novel method based on decomposing coupled systems into two associated subsystems has been proposed to elucidate the mechanism of formation of oscillating patterns. Linear stability analysis of the associated subsystems reveals that the Turing pattern in one layer induces the other layer locally, undergoes a supercritical Hopf bifurcation and gives rise to localized oscillations. It is found that the sizes and positions of oscillations are determined by the spatial distribution of the Turing patterns. When the size is large, localized traveling waves such as spirals and targets emerge. These results may be useful for deeper understanding of pattern formation in complex systems, particularly multilayered systems.
    Signal estimation bias in x-ray dark-field imaging using dual phase grating interferometer
    Zhi-Li Wang(王志立), Zun Zhang(张尊), Heng Chen(陈恒), and Xin Ge(葛昕)
    Chin. Phys. B, 2025, 34 (3):  038701.  DOI: 10.1088/1674-1056/ada430
    Abstract ( 18 )   PDF (496KB) ( 3 )  
    In x-ray dark-field imaging using dual phase grating interferometer, multi-contrast signals are extracted from a set of acquired phase-stepping data by using the least-squares fitting algorithm. The extracted mean intensity, amplitude and visibility signals may be intrinsically biased. However, it is still unclear how large these biases are and how the data acquisition parameters influence the biases in the extracted signals. This work set out to address these questions. Analytical expressions of the biases of the extracted signals were theoretically derived by using a second-order Taylor series expansion. Extensive numerical simulations were performed to validate the theoretical results. It is illustrated that while the estimated mean intensity signal is always unbiased, the estimated amplitude and visibility signals are both positively biased. While the biases of the estimated amplitude signals are proportional to the inverse of the total number of phase steps, the biases of the estimated visibility signals are inversely proportional to the product of the total number of phase steps and the mean number of photons counted per phase step. Meanwhile, it is demonstrated that the dependence of the biases on the mean visibility is quite different from that of Talbot-Lau interferometer due to the difference in the intensity model. We expect that these results can be useful for data acquisition optimizations and interpretation of x-ray dark-field images.
    Dynamics of zebrafish locomotion being independent of spatial size
    Zhen Wang(王震), Jian Gao(高见), Yongshang Long(龙永尚), Huaping Lv(吕华平), and Qun Wang(王群)
    Chin. Phys. B, 2025, 34 (3):  038702.  DOI: 10.1088/1674-1056/ada54c
    Abstract ( 11 )   PDF (1137KB) ( 3 )  
    Zebrafish are increasingly being utilized as a laboratory animal species to study various biological processes, both normal and pathological. It is crucial to comprehend the dynamics of zebrafish locomotion and put forth realistic models since their locomotion characteristics are employed as feedback indicators in diverse experiments. In this study, we conducted experimental research on the locomotion of zebrafish across various spatial sizes, focusing on the analysis of motion step size and motion direction. The results indicated that the motion step exhibits long-range correlations, the motion direction shows unbiased randomness, and the data characteristics are not influenced by spatial size. The dynamic mechanisms are complicated dynamical processes rather than fractional Brownian or Lévy processes motion. Based on the experimental results, we proposed a model for describing the movement of zebrafish in a circular container. Our findings shed light on the locomotion characteristics of zebrafish, and have the potential to benefit both the biological outcomes of animal tests and the welfare of the subjects.
    SPECIAL TOPIC — Computational programs in complex systems
    Impact of message fatigue and individual behavioral responses on epidemiological spread in temporal simplicial networks
    Xiao-Nan Fan(樊晓楠) and Xuemei You(由雪梅)
    Chin. Phys. B, 2025, 34 (3):  038703.  DOI: 10.1088/1674-1056/adaade
    Abstract ( 4 )   PDF (2765KB) ( 0 )  
    Health information spreads rapidly, which can effectively control epidemics. However, the swift dissemination of information also has potential negative impacts, which increasingly attracts attention. Message fatigue refers to the psychological response characterized by feelings of boredom and anxiety that occur after receiving an excessive amount of similar information. This phenomenon can alter individual behaviors related to epidemic prevention. Additionally, recent studies indicate that pairwise interactions alone are insufficient to describe complex social transmission processes, and higher-order structures representing group interactions are crucial. To address this, we develop a novel epidemic model that investigates the interactions between information, behavioral responses, and epidemics. Our model incorporates the impact of message fatigue on the entire transmission system. The information layer is modeled using a static simplicial network to capture group interactions, while the disease layer uses a time-varying network based on activity-driven model with attractiveness to represent the self-protection behaviors of susceptible individuals and self-isolation behaviors of infected individuals. We theoretically describe the co-evolution equations using the microscopic Markov chain approach (MMCA) and get the epidemic threshold. Experimental results show that while the negative impact of message fatigue on epidemic transmission is limited, it significantly weakens the group interactions depicted by higher-order structures. Individual behavioral responses strongly inhibit the epidemic. Our simulations using the Monte Carlo (MC) method demonstrate that greater intensity in these responses leads to clustering of susceptible individuals in the disease layer. Finally, we apply the proposed model to real networks to verify its reliability. In summary, our research results enhance the understanding of the information-epidemic coupling dynamics, and we expect to provide valuable guidance for managing future emerging epidemics.
    Vital nodes identification method integrating degree centrality and cycle ratio
    Yu Zhao(赵玉) and Bo Yang(杨波)
    Chin. Phys. B, 2025, 34 (3):  038901.  DOI: 10.1088/1674-1056/ada42d
    Abstract ( 13 )   PDF (6801KB) ( 2 )  
    Identifying vital nodes is one of the core issues of network science, and is crucial for epidemic prevention and control, network security maintenance, and biomedical research and development. In this paper, a new vital nodes identification method, named degree and cycle ratio (DC), is proposed by integrating degree centrality (weight $\alpha$) and cycle ratio (weight $1-\alpha$). The results show that the dynamic observations and weight $\alpha$ are nonlinear and non-monotonicity (i.e., there exists an optimal value $\alpha^*$ for $\alpha$), and that DC performs better than a single index in most networks. According to the value of $\alpha ^{\ast } $, networks are classified into degree-dominant networks ($\alpha ^{\ast }>0.5 $) and cycle-dominant networks ($\alpha ^{\ast }<0.5 $). Specifically, in most degree-dominant networks (such as Chengdu-BUS, Chongqing-BUS and Beijing-BUS), degree is dominant in the identification of vital nodes, but the identification effect can be improved by adding cycle structure information to the nodes. In most cycle-dominant networks (such as Email, Wiki and Hamsterster), the cycle ratio is dominant in the identification of vital nodes, but the effect can be notably enhanced by additional node degree information. Finally, interestingly, in Lancichinetti-Fortunato-Radicchi (LFR) synthesis networks, the cycle-dominant network is observed.
    SNSAlib: A python library for analyzing signed network
    Ai-Wen Li(李艾纹), Jun-Lin Lu(陆俊霖), Ying Fan(樊瑛), and Xiao-Ke Xu(许小可)
    Chin. Phys. B, 2025, 34 (3):  038902.  DOI: 10.1088/1674-1056/ada439
    Abstract ( 23 )   PDF (2884KB) ( 3 )  
    The unique structure of signed networks, characterized by positive and negative edges, poses significant challenges for analyzing network topology. In recent years, various statistical algorithms have been developed to address this issue. However, there remains a lack of a unified framework to uncover the nontrivial properties inherent in signed network structures. To support developers, researchers, and practitioners in this field, we introduce a Python library named SNSAlib (Signed Network Structure Analysis), specifically designed to meet these analytical requirements. This library encompasses empirical signed network datasets, signed null model algorithms, signed statistics algorithms, and evaluation indicators. The primary objective of SNSAlib is to facilitate the systematic analysis of micro- and meso-structure features within signed networks, including node popularity, clustering, assortativity, embeddedness, and community structure by employing more accurate signed null models. Ultimately, it provides a robust paradigm for structure analysis of signed networks that enhances our understanding and application of signed networks.
    INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    Characteristics of complex network of heatwaves over China
    Xuemin Shen(沈雪敏), Xiaodong Hu(胡晓东), Aixia Feng(冯爱霞), Qiguang Wang(王启光), and Changgui Gu(顾长贵)
    Chin. Phys. B, 2025, 34 (3):  038903.  DOI: 10.1088/1674-1056/ada43a
    Abstract ( 6 )   PDF (7377KB) ( 0 )  
    Using complex network methods, we construct undirected and directed heatwave networks to systematically analyze heatwave events over China from 1961 to 2023, exploring their spatiotemporal evolution patterns in different regions. The findings reveal a significant increase in heatwaves since the 2000s, with the average occurrence rising from approximately 3 to 5 times, and their duration increasing from 15 to around 30 days, nearly doubling. An increasing trend of "early onset and late withdrawal" of heatwaves has become more pronounced each year. In particular, eastern regions experience heatwaves that typically start earlier and tend to persist into September, exhibiting greater interannual variability compared to western areas. The middle and lower reaches of the Yangtze River and Xinjiang are identified as high-frequency heatwave areas. Complex network analysis reveals the dynamics of heatwave propagation, with degree centrality and synchronization distance indicating that the middle and lower reaches of the Yangtze River, Northeast China, and Xinjiang are key nodes in heatwave spread. Additionally, network divergence analysis shows that Xinjiang acts as a "source" area for heatwaves, exporting heat to surrounding regions, while the central region functions as a major "sink," receiving more heatwave events. Further analysis from 1994 to 2023 indicates that heatwave events exhibit stronger network centrality and more complex synchronization patterns. These results suggest that complex networks provide a refined framework for depicting the spatiotemporal dynamics of heatwave propagation, offering new avenues for studying their occurrence and development patterns.
ISSN 1674-1056   CN 11-5639/O4
, Vol. 34, No. 3

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