Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels

doi:10.1088/1674-1056/28/7/074701

中国物理B ›› 2019, Vol. 28 ›› Issue (7): 74701-074701.doi: 10.1088/1674-1056/28/7/074701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels

Han-Hai Li(李瀚海), Zhong-Yu Zheng(郑中玉), Tian Xie(谢天), Yu-Ren Wang(王育人)

1 National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2019-03-11 修回日期:2019-04-02 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: Zhong-Yu Zheng, Yu-Ren Wang E-mail:zzy@imech.ac.cn;yurenwang@imech.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grants Nos. U1738118 and 11372314), the Strategic Priority Research Program on Space Science, the Chinese Academy of Sciences (A) (Grant Nos. XDA04020202 and XDA04020406), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB22040301).

Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels

Han-Hai Li(李瀚海)^1,2, Zhong-Yu Zheng(郑中玉)^1,2, Tian Xie(谢天)^1,2, Yu-Ren Wang(王育人)^1,2

1 National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2019-03-11 Revised:2019-04-02 Online:2019-07-05 Published:2019-07-05
Contact: Zhong-Yu Zheng, Yu-Ren Wang E-mail:zzy@imech.ac.cn;yurenwang@imech.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grants Nos. U1738118 and 11372314), the Strategic Priority Research Program on Space Science, the Chinese Academy of Sciences (A) (Grant Nos. XDA04020202 and XDA04020406), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB22040301).

摘要/Abstract

摘要：

The self-diffusion problem of Brownian particles under the constraint of quasi-one-dimensional (q1D) channel has raised wide concern. The hydrodynamic interaction (HI) plays an important role in many practical problems and two-body interactions remain dominant under q1D constraint. We measure the diffusion coefficient of individual ellipsoid when two ellipsoidal particles are close to each other by video-microscopy measurement. Meanwhile, we obtain the numerical simulation results of diffusion coefficient using finite element software. We find that the self-diffusion coefficient of the ellipsoid decreases exponentially with the decrease of their mutual distance X when X < X₀, where X₀ is the maximum distance of the ellipsoids to maintain their mutual influence, X₀ and the variation rate are related to the aspect ratio p=a/b. The mean squared displacement (MSD) of the ellipsoids indicates that the self-diffusion appears as a crossover region, in which the diffusion coefficient increases as the time increases in the intermediate time regime, which is proven to be caused by the spatial variations affected by the hydrodynamic interactions. These findings indicate that hydrodynamic interaction can significantly affect the self-diffusion behavior of adjacent particles and has important implications to the research of microfluidic problems in blood vessels and bones, drug delivery, and lab-on-chip.

关键词: hydrodynamic interaction, self-diffusion, ellipsoids, channel

Abstract:

Key words: hydrodynamic interaction, self-diffusion, ellipsoids, channel

中图分类号: (Flow phenomena in quasi-one-dimensional systems)

47.60.-i

47.85.Dh (Hydrodynamics, hydraulics, hydrostatics) 47.57.J- (Colloidal systems)

李瀚海, 郑中玉, 谢天, 王育人. Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels[J]. 中国物理B, 2019, 28(7): 74701-074701.

Han-Hai Li(李瀚海), Zhong-Yu Zheng(郑中玉), Tian Xie(谢天), Yu-Ren Wang(王育人). Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels[J]. Chin. Phys. B, 2019, 28(7): 74701-074701.

参考文献 35

[31]	Huang B, Wu H, Bhaya D, Grossman A, Granier S, Kobilka B K and Zare R N 2007 Science 315 81 doi: 10.1126/science.1133992
[1]	Russel W B, Saville D A and Schowalter W R 1992 Colloidal Dispersions (New York: Cambridge University Press)
[32]	Pagés J M, James C E and Winterhalter M 2008 Nat Rev. Microbiol 6 893 doi: 10.1038/nrmicro1994
[2]	Bouchaud J P and Georges A 1990 Phys. Rep. 195 127 doi: 10.1016/0370-1573(90)90099-N
[33]	Zheng Z and Han Y 2010 J. Chem. Phys. 133 124509 doi: 10.1063/1.3490669
[3]	Klafter J and Sokolov I M 2005 Phys. World 18 29
[34]	Mazo R M 2002 Brownian Motion: Fluctuations, Dynamics and Applications (Oxford: Oxford University Press)
[4]	Wang B, Kuo J and Granick S 2013 Phys. Rev. Lett. 111 208102 doi: 10.1103/PhysRevLett.111.208102
[35]	Montgomery Jr J A and Berne B J 1977 J. Chem. Phys. 67 4589 doi: 10.1063/1.434619
[5]	Peng Y, Lai L, Tai Y S, Zhang K, Xu X and Cheng X 2016 Phys. Rev. Lett. 116 068303 doi: 10.1103/PhysRevLett.116.068303
[6]	Reverey J F, Jeon J H, Bao H, Leippe M, Metzler R and Selhuber-Unkel C 2015 Sci. Rep. 5 11690 doi: 10.1038/srep11690
[7]	Zheng X, ten Hagen B, Kaiser A, Wu M, Cui H, Silber-Li Z and Löwen H 2013 Phys. Rev. E 88 032304
[8]	HoFling F and Franosch T 2013 Rep. Prog. Phys. 76 046602 doi: 10.1088/0034-4885/76/4/046602
[9]	Jeon J H, Javanainen M, Martinez-Seara H, Metzler R and Vattulainen I 2016 Phys. Rev. X 6 021006
[10]	Omari R A, Aneese A M, Grabowski C A and Mukhopadhyay A 2009 J. Phys. Chem. B 113 8449
[11]	Jee A Y, Curtis-Fisk J L and Granick S 2014 Macromolecules 47 5793 doi: 10.1021/ma501331z
[12]	Khorasani F B, Poling-Skutvik R, Krishnamoorti R and Conrad J C 2014 Macromolecules 47 5328 doi: 10.1021/ma501248u
[13]	De Kort D W, Rombouts W H, Hoeben F J M, Janssen H M, Van As H and van Duynhoven J P M 2015 Macromolecules 48 7585 doi: 10.1021/acs.macromol.5b01530
[14]	Valentine M T, Kaplan P D, Thota D, Crocker J C, Gisler T, Prud'homme R K, Beck M and Weitz D A 2001 Phys. Rev. E 64 061506 doi: 10.1103/PhysRevE.64.061506
[15]	Banks D S, Tressler C, Peters R D, Höfling F and Fradin C 2016 Soft Matter 12 4190 doi: 10.1039/C5SM01213A
[16]	Karger J and Ruthven D 1992 Diffusion in Zeolites and Other Microporous Solids (New York: Wiley)
[17]	Stroock A D, Weck M, Chiu D T, Huck W T S, Kenis P J A, Ismagilov R F and Whitesides G M 2000 Phys. Rev. Lett. 84 3314 doi: 10.1103/PhysRevLett.84.3314
[18]	Cacciuto A and Luijten E 2006 Phys. Rev. Lett. 96 238104 doi: 10.1103/PhysRevLett.96.238104
[19]	Li H, Zheng Z and Wang Y 2019 Chin. Phys. Lett. 36 034701 doi: 10.1088/0256-307X/36/3/034701
[20]	Doi M 1988 The Theory of Polymer Dynamics (Oxford: Oxford University Press)
[21]	Happel J and Brenner H 1983 Low Reynolds Number Hydrodynamics (Dordrecht: Kluwer Academic)
[22]	Batchelor G K 1976 J. Fluid Mech. 74 1 doi: 10.1017/S0022112076001663
[23]	Cui B, Diamant H and Lin B 2002 Phys. Rev. Lett. 89 188302 doi: 10.1103/PhysRevLett.89.188302
[24]	Han Y, Alsayed A, Nobili M, Zhang J, Lubensky T C and Yodh A G 2006 Science 314 626 doi: 10.1126/science.1130146
[25]	Han Y, Alsayed A, Nobili M and Yodh A G 2009 Phys. Rev. E 80 011403
[26]	Sokolov A, Aranson I S, Kessler J O and Goldstein R E 2007 Phys. Rev. Lett. 98 158102 doi: 10.1103/PhysRevLett.98.158102
[27]	Duggal R and Pasquali M 2006 Phys. Rev. Lett. 96 246104 doi: 10.1103/PhysRevLett.96.246104
[28]	Cobb P D and Butler J E 2005 J. Chem. Phys. 123 054908 doi: 10.1063/1.1997149
[29]	Somasi M, Khomami B, Woo N J, Hur J S and Shaqfeh E S G 2002 J. Non-Newton Fluid 108 227 doi: 10.1016/S0377-0257(02)00132-5
[30]	Mehling M and Tay S 2014 Curr. Opin. Biotechnol. 25 95 doi: 10.1016/j.copbio.2013.10.005
[31]	Huang B, Wu H, Bhaya D, Grossman A, Granier S, Kobilka B K and Zare R N 2007 Science 315 81 doi: 10.1126/science.1133992
[32]	Pagés J M, James C E and Winterhalter M 2008 Nat Rev. Microbiol 6 893 doi: 10.1038/nrmicro1994
[33]	Zheng Z and Han Y 2010 J. Chem. Phys. 133 124509 doi: 10.1063/1.3490669
[34]	Mazo R M 2002 Brownian Motion: Fluctuations, Dynamics and Applications (Oxford: Oxford University Press)
[35]	Montgomery Jr J A and Berne B J 1977 J. Chem. Phys. 67 4589 doi: 10.1063/1.434619

Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels

Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 35

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水). Quantum dynamical resource theory under resource non-increasing framework[J]. 中国物理B, 2023, 32(4): 40305-040305.
[2]	Zengte Zheng(郑增特), Ziyang Chen(陈子扬), Luyu Huang(黄露雨),Xiangyu Wang(王翔宇), and Song Yu(喻松). Performance analysis of quantum key distribution using polarized coherent-states in free-space channel[J]. 中国物理B, 2023, 32(3): 30306-030306.
[3]	Yong Wei(魏勇), Xiaoling Zhao(赵晓玲), Chunlan Liu(刘春兰), Rui Wang(王锐), Tianci Jiang(蒋天赐), Lingling Li(李玲玲), Chen Shi(石晨), Chunbiao Liu(刘纯彪), and Dong Zhu(竺栋). Fiber cladding dual channel surface plasmon resonance sensor based on S-type fiber[J]. 中国物理B, 2023, 32(3): 30702-030702.
[4]	Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深). Spectral shift of solid high-order harmonics from different channels in a combined laser field[J]. 中国物理B, 2023, 32(3): 34204-034204.
[5]	Jie Wei(魏杰), Qinfeng Jiang(姜钦峰), Xiaorong Luo(罗小蓉), Junyue Huang(黄俊岳), Kemeng Yang(杨可萌), Zhen Ma(马臻), Jian Fang(方健), and Fei Yang(杨霏). High performance SiC trench-type MOSFET with an integrated MOS-channel diode[J]. 中国物理B, 2023, 32(2): 28503-028503.
[6]	Ling-Ling Li(李玲玲), Yong Wei(魏勇), Chun-Lan Liu(刘春兰), Zhuo Ren(任卓), Ai Zhou(周爱), Zhi-Hai Liu(刘志海), and Yu Zhang(张羽). Dual-channel fiber-optic surface plasmon resonance sensor with cascaded coaxial dual-waveguide D-type structure and microsphere structure[J]. 中国物理B, 2023, 32(2): 20702-020702.
[7]	Hong Zhang(张鸿), Hongxia Guo(郭红霞), Zhifeng Lei(雷志锋), Chao Peng(彭超), Zhangang Zhang(张战刚), Ziwen Chen(陈资文), Changhao Sun(孙常皓), Yujuan He(何玉娟), Fengqi Zhang(张凤祁), Xiaoyu Pan(潘霄宇), Xiangli Zhong(钟向丽), and Xiaoping Ouyang(欧阳晓平). Experiment and simulation on degradation and burnout mechanisms of SiC MOSFET under heavy ion irradiation[J]. 中国物理B, 2023, 32(2): 28504-028504.
[8]	Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威). Non-universal Fermi polaron in quasi two-dimensional quantum gases[J]. 中国物理B, 2022, 31(8): 80305-080305.
[9]	Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远). Robustness of two-qubit and three-qubit states in correlated quantum channels[J]. 中国物理B, 2022, 31(7): 70302-070302.
[10]	Ming-En Tian(田明恩), Zhi-He Long(龙之河), Li-Jun Feng(冯丽君), Lei-Lei He(贺磊磊), and Tian-Liang Zhang(张天良). Switchable and tunable triple-channel bandpass filter[J]. 中国物理B, 2022, 31(7): 78401-078401.
[11]	Fan Wang(王帆), Jingjing Xu(徐晶晶), Yanbin Ge(葛彦斌), Shengyong Xu(许胜勇),Yanjun Fu(付琰军), Caiyu Shi(石蔡语), and Jianming Xue(薛建明). Simulation of the physical process of neural electromagnetic signal generation based on a simple but functional bionic Na⁺ channel[J]. 中国物理B, 2022, 31(6): 68701-068701.
[12]	Yuhao Zhu(朱宇豪), Rui Jin(金锐), Yong Wu(吴勇), and Jianguo Wang(王建国). Spectroscopy and scattering matrices with nitrogen atom: Rydberg states and optical oscillator strengths[J]. 中国物理B, 2022, 31(4): 43103-043103.
[13]	Xin Lou(娄辛), Rui Liu(刘锐), Ke Chen(陈科), Xin Zhou(周昕), Rudolf Podgornik, and Mingcheng Yang(杨明成). Diffusion of a chemically active colloidal particle in composite channels[J]. 中国物理B, 2022, 31(4): 44704-044704.
[14]	Jun Wang(王君), Yuan-Xi Zhang(张沅熙), Fan Wang(王凡), Ren-Jie Ni(倪仁杰), and Yu-Heng Hu(胡玉衡). Color-image encryption scheme based on channel fusion and spherical diffraction[J]. 中国物理B, 2022, 31(3): 34205-034205.
[15]	Hai-Jun Yu(余海军) and Hong-Yi Fan(范洪义). Time evolution law of a two-mode squeezed light field passing through twin diffusion channels[J]. 中国物理B, 2022, 31(2): 20301-020301.