Entropic vibrational resonance and entropic stochastic resonance for a confined system with Sine-Wiener bounded noise and constant force

• Published in: European physical journal plus 2024-01, Vol.139 (1), Article 85
• Main Authors: Guo, Feng, Zhu, Qinlin, Zhou, Yu-Rong, Cai, Qiang-Ming
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Atomic; Complex Systems; Condensed Matter Physics; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Physics; Physics and Astronomy; Regular Article; Theoretical
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-023-04622-w

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 x -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.