Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise
Statistical Mechanics
2009-11-10 v2 Soft Condensed Matter
Abstract
In this letter, we develop a mode-coupling theory for a class of nonlinear Langevin equations with multiplicative noise using a field theoretic formalism. These equations are simplified models of realistic colloidal suspensions. We prove that the derived equations are consistent with the fluctuation-dissipation theorem. We also discuss the generalization of the result given here to real fluids, and the possible description of supercooled fluids in the aging regime. We demonstrate that the standard idealized mode-coupling theory is not consistent with the FDT in a strict field theoretic sense.
Keywords
Cite
@article{arxiv.cond-mat/0407575,
title = {Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise},
author = {Kunimasa Miyazaki and David R. Reichman},
journal= {arXiv preprint arXiv:cond-mat/0407575},
year = {2009}
}
Comments
14 pages, to appear in J. Phys. A