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Fluctuation-dissipation relation for nonlinear Langevin equations

Kumaran, V (2011) Fluctuation-dissipation relation for nonlinear Langevin equations. In: Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 83 (4, Par).

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Official URL: http://pre.aps.org/abstract/PRE/v83/i4/e041126

Abstract

It is shown that the fluctuation-dissipation theorem is satisfied by the solutions of a general set of nonlinear Langevin equations with a quadratic free-energy functional (constant susceptibility) and field-dependent kinetic coefficients, provided the kinetic coefficients satisfy the Onsager reciprocal relations for the irreversible terms and the antisymmetry relations for the reversible terms. The analysis employs a perturbation expansion of the nonlinear terms, and a functional integral calculation of the correlation and response functions, and it is shown that the fluctuation-dissipation relation is satisfied at each order in the expansion.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Date Deposited: 30 May 2011 07:48
Last Modified: 30 May 2011 07:48
URI: http://eprints.iisc.ernet.in/id/eprint/37794

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