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Fluctuation-dissipation relation for stochastic dynamics without detailed balance.

Authors
  • de Oliveira, Mário J
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Jul 01, 2007
Volume
76
Issue
1 Pt 1
Pages
11114–11114
Identifiers
PMID: 17677417
Source
Medline
License
Unknown

Abstract

We show that the fluctuation-dissipation relation can be established for a class of stochastic dynamics that lack detailed balance. This class comprises lattice spin models whose time evolution is governed by a master equation with a one-spin-flip transition rate having the up-down symmetry. The relation is obtained by the introduction of a multiplicative perturbation of the transition rate, which reduces to the usual perturbation when detailed balance is fulfilled. As a part of the derivation we set up an equivalent two-spin-flip stochastic dynamics that conserves the magnetization.

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