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Controlling the noise enhanced stability effect via noise recycling in a metastable system

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Abstract

We analyze the role of the delay time τ d and the fraction ε of recycled noise on the enhancement of the mean first-passage time (MFPT) in a metastable system with recycled noise, generated by the superposition of a primary Gaussian noise source with a second component of constant delay. The results indicate that MFPT as a function of the noise intensity D shows either a non-monotonic behavior with a maximum or a divergent behavior, which is the identifying characteristic of the noise enhanced stability (NES) phenomenon. The increasing of τ d or ε strengthens the NES effect for ε > 0. However, for ε < 0, there is a critical value of τ d , below which we observe an increase of MFPT whose maximum goes to infinity, and above which the divergent behavior tends to disappear and MFPT versus D shows a transition from one peak to two peaks and eventually one peak as τ d or |ε| increases. Moreover, we also discuss the effect of different initial conditions. These observations illustrate that the noise recycling may be used as an effective scheme for controlling the NES effect.

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Authors and Affiliations

  1. Department of Physics, Yunnan University, 650091, Kunming, P.R. China

    Z. L. Jia & D. C. Mei

  2. Department of Physics, Yuxi Normal University, 653100, Yuxi, P.R. China

    Z. L. Jia

Authors
  1. Z. L. Jia
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  2. D. C. Mei
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Correspondence to Z. L. Jia.

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Jia, Z.L., Mei, D.C. Controlling the noise enhanced stability effect via noise recycling in a metastable system. Eur. Phys. J. B 85, 139 (2012). https://doi.org/10.1140/epjb/e2012-20924-6

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  • DOI: https://doi.org/10.1140/epjb/e2012-20924-6

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