Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise

Details Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise

2004-07-21

arxiv.org/abs/cond-mat/0407575v2

J. Phys. A: Math. Gen. 38 (2005) L343

Physics

Condensed Matter

Statistical Mechanics

14 pages, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/38/20/L03

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.

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