Dichotomous flow with thermal diffusion and stochastic resetting

Abstract

We consider properties of one-dimensional diffusive dichotomous flow and discuss effects of resonant activation in the presence of statistically independent random resetting mechanism. Resonant activation and stochastic resetting are two similar effects, as both of them can optimize the noise induced escape. Our studies show completely different origins of optimization in adapted setups. Efficiency of stochastic resetting relies on elimination of suboptimal trajectories while resonant activation is associated with matching of time scales in the dynamic environment. Consequently, both effects can be easily tracked by studying their asymptotic properties. Finally, stochastic resetting cannot be easily used to further optimization of the resonant activation in symmetric setups.

arXiv comment8 pages

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• The inspection paradox in stochastic resetting
• Freezing transitions of Brownian particles in confining potentials
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• Power-law relaxation of a confined diffusing particle subject to resetting with memory
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting