Federico Corberi et al J. Stat. Mech. (2007) P07002 doi:10.1088/1742-5468/2007/07/P07002
Fluctuation dissipation relations far from equilibrium
FREE ARTICLE Focus on Dynamics of Non-Equilibrium SystemsFederico Corberi1, Eugenio Lippiello2 and Marco Zannetti1
Show affiliationsPart of Focus on Dynamics of Non-Equilibrium Systems
In this paper we review some recent progress in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation dissipation theorem can be derived for Markov processes, and discuss the Cugliandolo–Kurchan fluctuation dissipation relation for ageing systems and the theorem by Franz et al relating static and dynamic properties. We than specialize to phase ordering systems, examining the scaling properties of the linear response function and how these are determined by the behaviour of topological defects. We discuss how the connection between statics and dynamics can be violated in these systems at the lower critical dimension or due to stochastic instability.
- Keywords
- PACS
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- MSC
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82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)
- Subjects
- Dates
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Issue 07 (July 2007)
Received 5 March 2007, accepted for publication 28 May 2007
Published 3 July 2007
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Fluctuation dissipation relations far from equilibrium
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