On the Second Fluctuation–Dissipation Theorem for Nonequilibrium Baths

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.

• Publication year

  2013

• Venue

  Journal of Statistical Physics

• Publication date

  2013-09-12

• Fields of study

  Physics

• Identifiers
  DOI 10.1007/s10955-013-0904-8arXiv 1309.3160
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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