Dutta, Sreedhar B. ; Barma, Mustansir (2003) Asymptotic distributions of periodically driven stochastic systems Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 67 (6). 061111_1-061111_8. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v67/i6/e061111
Related URL: http://dx.doi.org/10.1103/PhysRevE.67.061111
Abstract
We study the large-time behavior 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 that can have interesting forms.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 79616 |
| Deposited On: | 27 Jan 2012 13:01 |
| Last Modified: | 27 Jan 2012 13:01 |
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