Phenomenon of double entropic stochastic resonance with recycled noise

• Published in: Chinese journal of physics (Taipei) Vol. 77; pp. 721 - 732
• Main Authors: Guo, Xiao-Ying, Cao, Tai-Qiang
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2022
• Subjects: Confined structure; Double entropic stochastic resonance; Master noise; Recycled noise; Confined structure; Double entropic stochastic resonance; Recycled noise; Master noise
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2021.10.020

•SR is observed when the LR changes with the feedback coefficient.•Periodic SR occurs when the LR changes with time-delay of the recycled noise.•DSR appears when the LR varies with the constant component of the force in the declining direction.•DSR appears when the LR varies with the noise intensity of the force in the declining direction.•Tradition SR occurs on the curve of the LR versus the intensity of the master noise. The double entropic stochastic resonance (DSR) phenomenon for a Brown particle moving in a confined geometry driven by a time-dependent force in the declining direction subject to additive master noise and recycled noise is investigated in this paper. Under the adiabatic approximation condition, based on two-state theory and linear response theory, the expression for the system linear response (LR) is derived. Stochastic resonance (SR) and periodic SR behavior is observed when the LR changes with the feedback coefficient and with the time-delay of the recycled noise. DSR phenomenon appears when the LR varies with the constant component and with the fluctuation noise intensity of the force in the declining direction. Tradition SR occurs on the curve of the LR when the LR varies with the intensity of the master noise. The non-monotonous effect of the parameters of the confined structure on the LR is discussed.