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

2002/09/30 by Suzanne Fielding, Peter Sollich
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn

paper · pdf · doi:10.1103/physreve.67.011101

published as Physical Review E, 67:011101, 2003 · 7 pages, 4 figures

arxiv created 2002/10/30 · arxiv updated 2009/11/30

Abstract

We study the non-equilibrium version of the fluctuation dissipation (FD) relation in the glass phase of a trap model that is driven into a non-equilibrium steady state by external ``shear''. This extends our recent study of ageing 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 analyse the robustness of this correspondence with respect to non-neutrality of the observable, and with respect to changes in the driving mechanism.

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