Entropic Stochastic Resonance In Local Non-linear System

During the last two decades, stochastic resonance has attracted considerable attention. In nonlinear bistable systems, with the help of noise, weak signal and nonlinear systems, the output signal can be amplified when the noise intensity changes with different values. This phenomenon is called stochastic resonance. This paper mainly discusses entropic stochastic resonance in the local of nonlinear systems.Entropic stochastic resonance is the phenomenon when the particle moving in constrained media occurred. As there are uneven boundaries in the system, it will give rise to an entropic contribution to the potential. When this system is driven by a weak periodic driving force, a vertical constant force and a colored noise, the spectral amplification may be increased when the particle passes through the region. This resonance phenomenon has similar production conditions and the characteristics of system signal amplification inspired by the appropriate noise level with the traditional stochastic resonance, so it is called entropic stochastic resonance. This stochastic resonance has the characteristics of small-scale systems.In this paper, the colored noise is introduced based on the entropic bistable model. Applying the unified colored noise approximation and adiabatic approximation, the quasi-static probability distribution function of the system can be derived by the Fokker-Planck equation, and the analytical spectral amplification can be obtained by the Kramer's time. It is found the entropic stochastic resonance realizes easily when the values of the noise correlation time and the driving frequency are very small. After the numerical calculations, it is also shown that there is the consistency in the trend between theoretical anaylisis and numerical simulation results. The results of this paper provides a theoretical basis to realize stochastic resonance in the small-scale systems by controlling the noise parameters.