Abstract
We investigate the one-dimensional diffusion of a particle in a V-shaped potential combined with a time-dependent jump at the tip. Employing the matching conditions, we calculate the exact Green function of the corresponding Smoluchowski equation. We then specialize the analysis to a harmonically oscillating height of the potential discontinuity. We calculate the particle's mean position as a function of time and study its nonlinear features. Our analysis reveals a new type of stochastic resonance. Namely, the time-asymptotic amplitude of the mean-position oscillations exhibits a maximum at an optimal value of the V-potential slope.
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