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Asymptotic distributions of Periodically Driven Stochastic Systems

Sreedhar B. Dutta·Mustansir Barma
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Abstract

We study the large-time behaviour of Brownian particles moving through a viscous medium in a confined potential, and which are further subjected to position-dependent driving forces that are periodic in time. We focus on the case where these driving forces are rapidly oscillating with an amplitude that is not necessarily small. We develop a perturbative method for the high-frequency regime to find the large-time behavior of periodically driven stochastic systems. The asymptotic distribution of Brownian particles is then determined to second order. To first order, these particles are found to execute small-amplitude oscillations around an effective static potential which can have interesting forms.

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Sreedhar B. Dutta, Mustansir Barma. 2003-12-09. Asymptotic distributions of Periodically Driven Stochastic Systems. https://doi.org/10.1103/physreve.67.061111

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