Nonlinear noninertial response of a brownian particle in a tilted periodic potential to a strong ac force
The solution of the Langevin equation describing the dynamics of a Brownian particle in a tilted periodic potential in the overdamped limit is obtained in terms of a matrix continued fraction, allowing us to evaluate statistical averages governing the nonlinear response to a strong ac force. Pronoun...
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| Published in | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 61; no. 4 Pt B; p. 4599 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.04.2000
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| Online Access | Get more information |
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| Summary: | The solution of the Langevin equation describing the dynamics of a Brownian particle in a tilted periodic potential in the overdamped limit is obtained in terms of a matrix continued fraction, allowing us to evaluate statistical averages governing the nonlinear response to a strong ac force. Pronounced nonlinear effects are observed for large values of the ac force. For a weak ac force and low noise strength, the results obtained agree closely with previously available linear response and noiseless solutions, respectively. |
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| ISSN: | 1063-651X |
| DOI: | 10.1103/PhysRevE.61.4599 |