https://doi.org/10.1140/epjp/s13360-023-04622-w
Regular Article
Entropic vibrational resonance and entropic stochastic resonance for a confined system with Sine-Wiener bounded noise and constant force
1
School of Information Engineering, Southwest University of Science and Technology, 621010, Mianyang, China
2
Research Center of Laser Fusion, China Academy of Engineering Physics, 621900, Mianyang, China
3
College of Mechanical and Electronical Engineering, Mianyang Teachers’ College, 621000, Mianyang, China
a
guofen9932@163.com
b
3269944369@qq.com
Received:
13
September
2023
Accepted:
22
October
2023
Published online:
9
January
2024
The entropic vibrational resonance (EVR) and entropic stochastic resonance (ESR) for a confined system, driven by Sine-Wiener (SW) bounded noise, by one high-frequency and one low-frequency periodic force, as well as by a constant force along the 
-direction, are studied. By virtue of the statistical characteristics of the SW noise, the Fokker–Planck equation and marginal probability density for the constrained system are derived. Based on two-state theory, the transition rates out of the stable states and signal-to-noise ratio (SNR) for the system driven by the low-frequency periodic force are obtained. Analysis results show that EVR occurs when the SNR changes with the amplitude and frequency of the high-frequency periodic force. The effect of the amplitude and that of the frequency of the high-frequency signal on the SNR is different. ESR takes place when the SNR varies with the strength and correlation time of the SW bounded noise. ESR is also observed when the SNR changes with increasing the constant force.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
