Stochastic resonance in a double well

Abstract

A theoretical explanation for the phenomenon of stochastic resonance in a double well is presented. Starting with the standard Langevin description for this process, a systematic, time-dependent, perturbation-theory analysis of the associated Fokker-Planck equation yields stochastic resonance. In order to get stochastic resonance, the governing parameters must satisfy special inequalities. The analysis also produces these inequalities.