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Energetic and entropic vibrational resonance

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  • Jiang, Jiahao
  • Li, Kaiyuan
  • Guo, Wei
  • Du, Luchun

Abstract

The influence of an energetic bistable potential on the entropic vibrational resonance (EVR) is investigated. We demonstrate the existence of vibrational resonance modulated by the high-frequency signal with energetic and entropic barriers, which is termed energetic and entropic vibrational resonance (EEVR). We use different methods, including the numerical simulation of Langevin equation, the numerical solution of Fokker-Planck equation, and the analytical expressions of two-state approximation theory, to obtain the spectral amplification factor which can be used to quantify EEVR. In addition, there are two mechanisms, the dynamical phase transition of the stable states and the matching between the escape rate and low-frequency signal on time-scale in the EEVR, which are caused by the modulation of the high-frequency signal. Finally, an auxiliary quantity called the mean entropic Poisson intensity is proposed to describe the constraint effects of the uneven boundaries on the Brownian motion. The above research provides some theoretical reference for the detection of weak signals, and the manipulation of motions of an overdamped Brownian particles, under uneven boundary constraints in small-scale stochastic systems.

Suggested Citation

  • Jiang, Jiahao & Li, Kaiyuan & Guo, Wei & Du, Luchun, 2021. "Energetic and entropic vibrational resonance," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007542
    DOI: 10.1016/j.chaos.2021.111400
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    References listed on IDEAS

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    1. Avishek Chowdhury & Marcel G. Clerc & Sylvain Barbay & Isabelle Robert-Philip & Remy Braive, 2020. "Weak signal enhancement by nonlinear resonance control in a forced nano-electromechanical resonator," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    2. Ge, Mengyan & Lu, Lulu & Xu, Ying & Mamatimin, Rozihajim & Pei, Qiming & Jia, Ya, 2020. "Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. Gui, Rong & Wang, Yue & Yao, Yuangen & Cheng, Guanghui, 2020. "Enhanced logical vibrational resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Robert L. Badzey & Pritiraj Mohanty, 2005. "Coherent signal amplification in bistable nanomechanical oscillators by stochastic resonance," Nature, Nature, vol. 437(7061), pages 995-998, October.
    5. Liu, Jian & Qiao, Zijian & Ding, Xiaojian & Hu, Bing & Zang, Chuanlai, 2021. "Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    6. Zhenzhen Liu & Luchun Du & Wei Guo & Dong-Cheng Mei, 2016. "Entropic stochastic resonance of a self-propelled Janus particle," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(10), pages 1-5, October.
    7. Majeske, Karl D., 2007. "A non-homogeneous Poisson process predictive model for automobile warranty claims," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 243-251.
    8. P. S. Burada & G. Schmid & D. Reguera & J. M. Rubi & P. Hänggi, 2009. "Entropic stochastic resonance: the constructive role of the unevenness," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(1), pages 11-18, May.
    Full references (including those not matched with items on IDEAS)

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