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

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

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.

Keywords: correlated noises confined system entropic noise induced stability double entropic stochastic resonance

Received: 11 October 2010
Revised: 04 November 2010
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	02.50.Ey	(Stochastic processes)
	05.10.Gg	(Stochastic analysis methods)

Fund: 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).

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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 2011 Chin. Phys. B 20 050502

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

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