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

Suzanne Fielding·Peter Sollich
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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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Suzanne Fielding, Peter Sollich. 2002-10-30. Equivalence of driven and ageing fluctuation-dissipation relations in the trap model. https://doi.org/10.1103/physreve.67.011101

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