English

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

Statistical Mechanics 2007-05-23 v2 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0209645,
  title  = {Equivalence of driven and ageing fluctuation-dissipation relations in the trap model},
  author = {Suzanne Fielding and Peter Sollich},
  journal= {arXiv preprint arXiv:cond-mat/0209645},
  year   = {2007}
}

Comments

7 pages, 4 figures