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Escape from a metastable state with fluctuating barrier

Author

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  • Agudov, Nikolay V
  • Dubkov, Alexander A
  • Spagnolo, Bernardo

Abstract

We investigate the escape of a Brownian particle from fluctuating metastable states. We find the conditions for the noise enhanced stability (NES) effect for periodical driving force. We obtain general equations useful to calculate the average escape time for randomly switching potential profiles. For piece-wise linear potential profile we reveal the noise enhanced stability (NES) effect, when the height of “reverse” potential barrier of metastable state is comparatively small. We obtain analytically the condition for the NES phenomenon and the average escape time as a function of parameters, which characterize the potential and the driving dichotomous noise.

Suggested Citation

  • Agudov, Nikolay V & Dubkov, Alexander A & Spagnolo, Bernardo, 2003. "Escape from a metastable state with fluctuating barrier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 144-151.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:144-151
    DOI: 10.1016/S0378-4371(03)00193-6
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    Cited by:

    1. Spagnolo, B. & Valenti, D. & Guarcello, C. & Carollo, A. & Persano Adorno, D. & Spezia, S. & Pizzolato, N. & Di Paola, B., 2015. "Noise-induced effects in nonlinear relaxation of condensed matter systems," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 412-424.
    2. Dong, Yang & Wen, Shu-hui & Hu, Xiao-bing & Li, Jiang-Cheng, 2020. "Stochastic resonance of drawdown risk in energy market prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Xie, Qingshuang & Wang, Tonghuan & Zeng, Chunhua & Dong, Xiaohui & Guan, Lin, 2018. "Predicting fluctuations-caused regime shifts in a time delayed dynamics of an invading species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 69-83.
    4. Pankratov, Andrey L. & Ladeynov, Dmitry A. & Revin, Leonid S. & Gordeeva, Anna V. & Il’ichev, Evgeny V., 2024. "Quantum and phase diffusion crossovers in small Al Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    5. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. Zhong, Guang-Yan & He, Feng & Li, Jiang-Cheng & Mei, Dong-Cheng & Tang, Nian-Sheng, 2019. "Coherence resonance-like and efficiency of financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    7. Ren, Ruibin & Deng, Ke, 2019. "Noise and periodic signal induced stochastic resonance in a Langevin equation with random mass and frequency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 145-155.
    8. Guo, Yongfeng & Ding, Jiaxin & Mi, Lina, 2024. "Statistical complexity and stochastic resonance of an underdamped bistable periodic potential system excited by Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    9. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.
    10. Li, Chen-Pu & Chen, Hong-Bin & Fan, Hong & Xie, Ge-Ying & Zheng, Zhi-Gang, 2018. "Cooperation and competition between two symmetry breakings in a coupled ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 175-185.
    11. Uda, Kenneth, 2019. "Ergodicity and spike rate for stochastic FitzHugh–Nagumo neural model with periodic forcing," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 383-399.
    12. Guo, Yongfeng & Wang, Linjie & Wei, Fang & Tan, Jianguo, 2019. "Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 118-126.
    13. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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