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The steady current analysis in a periodic channel driven by correlated noises

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  • Mei, Ruoxing
  • Xu, Yong
  • Li, Yongge
  • Kurths, Jürgen

Abstract

A system consisting of correlated noises and a channel is analyzed. Via the Fick-Jacobs equation for the system’s current evolution, the validity are discussed under three kinds of correlated noise. i) The first case is two Gaussian white noises with a white correlation. We found that in contrast to the single white noise, the white correlation between these two noises breaks the system’s symmetry and causes a directed current and the larger the correlation degree, the smaller the current. However, the interaction between the correlation degree and a sinusoidal potential may produce an increasing steady current. ii) The second one is two Gaussian white noises with an exponential correlation. And our results perform that the correlation time between them contributes to a decrease of the steady current. iii) Finally, the case that two Gaussian colored noises with an exponential correlation is investigated. Unlike the former two cases, whether the correlation time comes from the noise itself or the correlation between the two noises, its increase here can always cause an increasing current.

Suggested Citation

  • Mei, Ruoxing & Xu, Yong & Li, Yongge & Kurths, Jürgen, 2020. "The steady current analysis in a periodic channel driven by correlated noises," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301685
    DOI: 10.1016/j.chaos.2020.109766
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    References listed on IDEAS

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    1. Hua Li & Yong Xu & Jürgen Kurths & Xiaole Yue, 2019. "Stationary distribution simulation of rare events under colored Gaussian noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(4), pages 1-8, April.
    2. Xu, Pengfei & Jin, Yanfei, 2018. "Mean first-passage time in a delayed tristable system driven by correlated multiplicative and additive white noises," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 75-82.
    3. Sun, Xiaojuan & Lu, Qishao & Kurths, Jürgen, 2008. "Correlated noise induced spatiotemporal coherence resonance in a square lattice network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6679-6685.
    4. Kang-Kang Wang & De-Cai Zong & Ya-Jun Wang & Sheng-Hong Li, 2016. "Combined action of time-delay and colored cross-associated multiplicative and additive noises on stability and stochastic resonance for a stochastic metapopulation system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(5), pages 1-12, May.
    5. Li, Hua & Xu, Yong & Yue, Xiaole & Kurths, Jürgen, 2019. "Transition-event duration in one-dimensional systems under correlated noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
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    Cited by:

    1. Wang, Zhanqing & Xu, Yong & Li, Yongge & Kapitaniak, Tomasz & Kurths, Jürgen, 2021. "Chimera states in coupled Hindmarsh-Rose neurons with α-stable noise," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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