Entropic stochastic resonance for a confined system driven by two constant forces and multiplicative noise

Abstract

The entropic stochastic resonance (ESR) phenomenon for a confined system driven by two constant forces, by two periodic forces and multiplicative noise is studied. The Fokker-Planck equation corresponding to the confined structure is obtianed applying Fick-Jacob approximation. The transition rates from the stable states are derived under the adiabatic approximation condition. The signal-to-noise ratios (SNRs) for the fundamental and higher harmonics are derived by virtue of two-state theory. Analysis result indicates that the SNR for fundamental harmonic decreases as increasing the constant force along x-direction, while the SNR for fundamental harmonic can obtain one maxmimum value with the increment of the constant force along y-direction. Each of the SNRs for higher harmonics can get one resonance peak as increasing the two constant forces. Two peaks appear when the SNRs vary with the multiplicative noise intensity, while only one peak value takes place when the SNRs change with the additive noise strength. The influence of the boundary parameters of the confined system on the SNRs is discussed.