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

S. M. Fielding and P. Sollich
Phys. Rev. E 67, 011101 – Published 14 January 2003
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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.

  • Received 27 September 2002

DOI:https://doi.org/10.1103/PhysRevE.67.011101

©2003 American Physical Society

Authors & Affiliations

S. M. Fielding*

  • Polymer IRC and Department of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom

P. Sollich

  • Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, United Kingdom

  • *Electronic address: physf@irc.leeds.ac.uk
  • Electronic address: p.sollich@mth.kcl.ac.uk

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Vol. 67, Iss. 1 — January 2003

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