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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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
Publication:	Physical Review E - Statistical, Nonlinear and Soft Matter Physics
Publisher:	The American Physical Society
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.ac.in/id/eprint/37794

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