☆ 4.4 Article

On the Second Fluctuation-Dissipation Theorem for Nonequilibrium Baths

JOURNAL OF STATISTICAL PHYSICS (2014)

期刊

JOURNAL OF STATISTICAL PHYSICS

卷 154, 期 3, 页码 705-722

出版社

SPRINGER

DOI: 10.1007/s10955-013-0904-8

关键词

Active medium; Fluctuation-dissipation theorem; Nonequilibrium reduced dynamics

类别

Physics, Mathematical

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Protocol

Reagent

摘要

Baths produce friction and random forcing on particles suspended in them. The relation between noise and friction in (generalized) Langevin equations is usually referred to as the second fluctuation-dissipation theorem. We show what is the proper nonequilibrium extension, to be applied when the environment is itself active and driven. In particular we determine the effective Langevin dynamics of a probe from integrating out a steady nonequilibrium environment. The friction kernel picks up a frenetic contribution, i.e., involving the environment's dynamical activity, responsible for the breaking of the standard Einstein relation.

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