Equivalence of driven and aging fluctuation-dissipation relations in the trap model

Fielding, S.M. and Sollich, P. (2003) Equivalence of driven and aging fluctuation-dissipation relations in the trap model. Physical Review E, 67 (011101). pp. 1-6. ISSN 1539-3755

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Abstract

We study the nonequilibrium version of the fluctuation-dissipation (FD) relation in the glass phase of a trap model that is driven into a nonequilibrium steady state by external "shear." This extends our recent study of aging FD relations in the same model, where we found limiting, observable independent FD relations for "neutral" observables that are uncorrelated with the system's average energy. In this work, for such neutral observables, we find the FD relation for a stationary weakly driven system to be the same, to within small corrections, as for an infinitely aged system. We analyze the robustness of this correspondence with respect to non-neutrality of the observable, and with respect to changes in the driving mechanism.

Item Type:	Article
Uncontrolled Keywords:	DISORDERED-SYSTEMS; DYNAMICS; RHEOLOGY; PARTICLE; DRIFT
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics MSC 2010, the AMS's Mathematics Subject Classification > 82 Statistical mechanics, structure of matter
Depositing User:	Ms Lucy van Russelt
Date Deposited:	17 Jul 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/385

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