Entropic stochastic resonance in a confined structure driven by dichotomous noise and white noises

doi:10.1088/1674-1056/21/8/080502

Abstract The entropic stochastic resonance (ESR) in a confined system subjected to dichotomous noise and white noise and driven by a periodic sinusoidal force along the x axis of the structure and a time-dependent force in the declining direction, is investigated. Under the adiabatic approximation condition and based on two-state theory, the expression of the output signal-to-noise ratio (SNR) is obtained. The results show that the SNR is a non-monotonic function of the strengths of dichotomous noise, white noise, and correlated strength of correlated noise. In addition, the SNR varies non-monotonically with the increase of the shape parameters of the confined structure, and also with the increase of the constant force along the y axis of the structure. The influence of the correlation rate of the dichotomous noise, and that of the frequency of the periodic force on the SNR are discussed.

Keywords: entropic stochastic resonance dichotomous noise correlated noise square-wave signal signal-to-noise ratio

Received: 23 November 2011
Revised: 29 February 2012
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	02.50.-r	(Probability theory, stochastic processes, and statistics)

Fund: Project supported by the Open Fund of Key Laboratory of Education-Ministry Collaboration-Built (Southwest University of Science and Technology)-Manufacturing Process Test Technology, China (Grant No. 11zxzk08).

Corresponding Authors: Cheng Xiao-Feng
E-mail: cxf67@163.com

Cite this article:

Guo Feng (郭锋), Cheng Xiao-Feng (程晓锋), Li Shao-Fu (李少甫), Cao Wen (曹文), Li Heng (黎恒) Entropic stochastic resonance in a confined structure driven by dichotomous noise and white noises 2012 Chin. Phys. B 21 080502

[1]	Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[2]	Berdichevsky V and Gitterman M 1999 Phys. Rev. E 60 1494
[3]	Mantegna R N, Spagnolo B and Trapanese M 2001 Phys. Rev. E 63 011101
[4]	McNamara B, Wiesenfeld K and Rajarshi Roy 1988 Phys. Rev. Lett. 60 2626
[5]	Stocks N G 2000 Phys. Rev. Lett. 84 2310
[6]	Valenti D, Fiasconaro A and Spagnolo B 2004 Physica A 331 477
[7]	Duan F and Xu B 2003 Int. J. Bifur. Chaos 13 411
[8]	Zhang L Y, Jin G X and Cao L 2011 Acta Phys. Sin. 60 044207 (in Chinese)
[9]	Liu S J, Wang Q, Liu B, Yan S W and Fumihiko S 2011 Acta Phys. Sin. 60 128703 (in Chinese)
[10]	Guo F, Cheng X F and Li H 2011 Physica A 390 3687
[11]	Guo F, Zhou Y R and Li S F 2011 Int. J. Mod. Phys. B 25 3797
[12]	Burada P S, Hänggi P, Marchesoni F, Schmid G and Talkner P 2009 Chem. Phys. Chem. 10 45
[13]	van Dorp S, Keyser U F, Dekker N H, Dekker C and Lemay S G 2009 Nat. Phys. 5 347
[14]	Berezhkovskii A M, Pustovoit M A and Bezrukov S M 2009 Phys. Rev. E 80 020904(R)
[15]	Gammaitoni L, Hanggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[16]	Burada P S, Schmid G, Reguera D, Vainstein M H, Rubi J M and Hänggi P 2008 Phys. Rev. Lett. 101 130602
[17]	Burada P S, Schmid G, Reguera D, Rubi J M and Hänggi P 2009 Eur. Phys. J. B 69 11
[18]	Burada P S, Schmid G, Reguera D, Rubi J M and Hänggi P 2009 Europhys. Lett. 87 50003
[19]	Ghosh P K, Marchesoni F, Savelév S E and Nori F Phys. Rev. Lett. 104 020601
[20]	Burada P S, Schmid G, Li Y and Hanggi P 2010 Acta Physica Polonica B 41 935
[21]	Zhao L, Luo X. Q, Wu D, Zhu S Q and Gu J H. 2010 Chin. Phys. Lett. 27 040503
[22]	Riefler W, Schmid G, Burada P S and Hanggi P 2010 J. Phys.: Condens. Matter 22 454109
[23]	Zeng C H, Wang H and Wang H T 2011 Chin. Phys. B 20 050502
[24]	Gitterman M 2003 Phys. Rev. E 67 057103
[25]	Calisto H, Mora F and Tirapegui E 2006 Phys. Rev. E 74 022102
[26]	Mei D C, Xie C W and Zhang L 2003 Phys. Rev. E 68 051102
[27]	Ai B Q, Wang X J, Liu G T and Liu L G 2008 Phys. Rev. E 77 013902
[28]	Chaudhuri J R, Chattopadhya S and Banik S K 2007 Phys. Rev. E 76 021125
[29]	Bai C Y, Yan Y and Mei D C 2010 Chin. Phys. B 19 060503
[30]	Fulinski A 1995 Phys. Rev. E 52 4523
[31]	Broeck C V and Hanggi P 1984 Phys. Rev. A 30 2730
[32]	Neiman A, Schimansky-Geier L, Moss F Shulgin B and Collins J J 1999 Phys. Rev. E 60 284
[33]	Morita A 1990 Phys. Rev. A 41 754
[34]	Balakrishnan V, Broeck C V and Hanggi P 1988 Phys. Rev. A 38 4213
[35]	Jin Y F, Xu W, Xu M and Fang T 2005 J. Phys. A: Math. Gen. 38 3733
[36]	Rozenfeld R, Neiman A and Schimansky-Geier L 2000 Phys. Rev. E 62 R3031
[37]	Gammaitoni L, Hanggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 224
[38]	Hanggi P and Jung P 1995 Adv. Chem. Phys. 89 239
[39]	Fox R F1986 Phys. Rev. A 34 4525
[40]	Jia Y and Li J 1996 Phys. Rev. E 53 5786
[41]	Luo X Q and Zhu S Q 2003 Phys. Rev. E 67 021104
[42]	Burada P S, Schmid G, Reguera D, Vainstein M H, Rubi J M and Hanggi P 2008 Phys. Rev. Lett. 101 130602
[43]	Zuürcher U and Doering C R 1993 Phys. Rev. E 47 3862
[44]	Xu B, Duan F and Francois C B 2004 Phys. Rev. E 69 061110

[1]	Signal-to-noise ratio of Raman signal measured by multichannel detectors Xue-Lu Liu(刘雪璐), Yu-Chen Leng(冷宇辰), Miao-Ling Lin(林妙玲), Xin Cong(从鑫), and Ping-Heng Tan(谭平恒). Chin. Phys. B, 2021, 30(9): 097807.
[2]	Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR Ke Wang(王珂), Xiaopeng Yan(闫晓鹏), Ze Li(李泽), Xinhong Hao(郝新红), and Honghai Yu(于洪海). Chin. Phys. B, 2021, 30(5): 050708.
[3]	Dense coding capacity in correlated noisy channels with weak measurement Jin-Kai Li(李进开), Kai Xu(徐凯), and Guo-Feng Zhang(张国锋). Chin. Phys. B, 2021, 30(11): 110302.
[4]	Novel Woods-Saxon stochastic resonance system for weak signal detection Yong-Hui Zhou(周永辉), Xue-Mei Xu(许雪梅), Lin-Zi Yin(尹林子), Yi-Peng Ding(丁一鹏), Jia-Feng Ding(丁家峰), Ke-Hui Sun(孙克辉). Chin. Phys. B, 2020, 29(4): 040503.
[5]	Noise properties of multi-combination information in x-ray grating-based phase-contrast imaging Wali Faiz, Ji Li(李冀), Kun Gao(高昆), Zhao Wu(吴朝), Yao-Hu Lei(雷耀虎), Jian-Heng Huang(黄建衡), Pei-Ping Zhu(朱佩平). Chin. Phys. B, 2020, 29(1): 014301.
[6]	Optimization of pick-up coils for weakly damped SQUID gradiometers Kang Yang(杨康), Jialei Wang(王佳磊), Xiangyan Kong(孔祥燕), Ruihu Yang(杨瑞虎), Hua Chen(陈桦). Chin. Phys. B, 2018, 27(5): 050701.
[7]	Implication of two-coupled tri-stable stochastic resonance in weak signal detection Quan-Quan Li(李泉泉), Xue-Mei Xu(许雪梅), Lin-Zi Yin(尹林子), Yi-Peng Ding(丁一鹏), Jia-Feng Ding(丁家峰), Ke-Hui Sun(孙克辉). Chin. Phys. B, 2018, 27(3): 034203.
[8]	Current transport and mass separation for an asymmetric fluctuation system with correlated noises Jie Wang(王杰), Li-Juan Ning(宁丽娟). Chin. Phys. B, 2018, 27(1): 010501.
[9]	Noise analysis of grating-based x-ray differential phase-contrast imaging with angular signal radiography Wali Faiz, Yuan Bao(鲍园), Kun Gao(高昆), Zhao Wu(吴朝), Chen-Xi Wei(卫晨希), Gui-Bin Zan(昝贵彬), Pei-Ping Zhu(朱佩平), Yang-Chao Tian(田扬超). Chin. Phys. B, 2017, 26(4): 040602.
[10]	Signal-to-noise ratio comparison of angular signal radiography and phase stepping method Wali Faiz, Peiping Zhu(朱佩平), Renfang Hu(胡仁芳), Kun Gao(高昆), Zhao Wu(吴朝), Yuan Bao(鲍园), Yangchao Tian(田扬超). Chin. Phys. B, 2017, 26(12): 120601.
[11]	Enhancement of signal-to-noise ratio of ultracold polar NaCs molecular spectra by phase locking detection Wenhao Wang(王文浩), Wenliang Liu(刘文良), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Xiaofeng Wang(王晓锋), Yanyan Liu(刘艳艳), Jie Ma(马杰), Liantuan Xiao(肖连团), Suotang Jia(贾锁堂). Chin. Phys. B, 2017, 26(12): 123701.
[12]	Moment stability for a predator-prey model with parametric dichotomous noises Jin Yan-Fei (靳艳飞). Chin. Phys. B, 2015, 24(6): 060502.
[13]	Stochastic resonance in an over-damped linear oscillator Lin Li-Feng (林丽烽), Tian Yan (田艳), Ma Hong (马洪). Chin. Phys. B, 2014, 23(8): 080503.
[14]	Theory of noise in a kilo-Hz cascaded high-energy Yb-doped nanosecond pulsed fiber amplifier Liu Ming (刘明), Zhang Hai-Tao (张海涛), Gong Ma-Li (巩马理), Zhao Yue-Jin (赵跃进), Cheng Wen-Yong (程文雍), Meng Kuo (孟阔), Zheng Chao (郑超), Chen Yi-Zhu (陈倚竹). Chin. Phys. B, 2014, 23(4): 044214.
[15]	Digital coherent detection research on Brillouin optical time domain reflectometry with simplex pulse codes Hao Yun-Qi (郝蕴琦), Ye Qing (叶青), Pan Zheng-Qing (潘政清), Cai Hai-Wen (蔡海文), Qu Rong-Hui (瞿荣辉). Chin. Phys. B, 2014, 23(11): 110703.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Entropic stochastic resonance in a confined structure driven by dichotomous noise and white noises

Cite this article:

Online attention