Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises

doi:10.1088/1674-1056/20/5/050502

中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/20/5/050502

Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises

王华¹, 王辉涛¹, 曾春华²

(1)Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China; (2)Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2010-10-11 修回日期:2010-11-04 出版日期:2011-05-15 发布日期:2011-05-15
基金资助:
Project supported by Natural Science Foundation of Yunnan Province of China (Grant No. 2010CD031) and the National Natural Science Foundation of China (Grant Nos. 50906035, 90610035, 51066002, and U0937604).

Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises

Zeng Chun-Hua(曾春华)^a)b)†, Wang Hua(王华)^b), and Wang Hui-Tao(王辉涛)^b)

^a Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China; ^b Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China

Received:2010-10-11 Revised:2010-11-04 Online:2011-05-15 Published:2011-05-15
Supported by:
Project supported by Natural Science Foundation of Yunnan Province of China (Grant No. 2010CD031) and the National Natural Science Foundation of China (Grant Nos. 50906035, 90610035, 51066002, and U0937604).

摘要/Abstract

摘要： For the activated dynamics of a Brownian particle moving in a confined system with the presence of entropic barriers, this paper investigates a periodic driving and correlations between two noises. Within the two-state approximation, the explicit expressions of the mean first passage time (MFPT) and the spectral power amplification (SPA) are obtained, respectively. Based on the numerical computations, it is found that: (i) The MFPT as a function of the noise intensity exhibits a maximum with the positive correlations between two noises (λ>0), this maximum for MFPT shows the characteristic of the entropic noise induced stability (ENIS) effect. The intensity λ of correlations between two noises can enhance the ENIS effect. (ii) The SPA as a function of the noise intensity exhibits a double-peak by tuning the noise correlation intensity λ, i.e., the existence of a double-peak behaviour is the identifying characteristic of the double entropic stochastic resonance phenomenon.

Abstract: For the activated dynamics of a Brownian particle moving in a confined system with the presence of entropic barriers, this paper investigates a periodic driving and correlations between two noises. Within the two-state approximation, the explicit expressions of the mean first passage time (MFPT) and the spectral power amplification (SPA) are obtained, respectively. Based on the numerical computations, it is found that: (i) The MFPT as a function of the noise intensity exhibits a maximum with the positive correlations between two noises ($\lambda$>0), this maximum for MFPT shows the characteristic of the entropic noise induced stability (ENIS) effect. The intensity $\lambda$ of correlations between two noises can enhance the ENIS effect. (ii) The SPA as a function of the noise intensity exhibits a double-peak by tuning the noise correlation intensity $\lambda$, i.e., the existence of a double-peak behaviour is the identifying characteristic of the double entropic stochastic resonance phenomenon.

Key words: correlated noises, confined system, entropic noise induced stability, double entropic stochastic resonance

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

02.50.Ey (Stochastic processes) 05.10.Gg (Stochastic analysis methods)

曾春华, 王华, 王辉涛. Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises[J]. 中国物理B, 2011, 20(5): 50502-050502.

Zeng Chun-Hua(曾春华), Wang Hua(王华), and Wang Hui-Tao(王辉涛). Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises[J]. Chin. Phys. B, 2011, 20(5): 50502-050502.

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Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises

Entropic noise induced stability and double entropic stochastic resonance induced by correlated noises

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