Observable dependence of fluctuation-dissipation relations and effective temperatures

Fielding, S.M. and Sollich, Peter (2002) Observable dependence of fluctuation-dissipation relations and effective temperatures. Physical Review Letters, 88 (050603). pp. 1-4. ISSN 0031-9007

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Abstract

We study the nonequilibrium fluctuation-dissipation theorem (FDT) in the glass phase of Bouchaud’s trap model. We incorporate an arbitrary observable m and obtain its correlation and response functions in closed form. A limiting nonequilibrium FDT plot is approached at long times for most choices of m. In contrast to standard mean field models, however, the shape of the plot depends nontrivially on the observable, and its slope varies continuously even though there is a single scaling of relaxation times with age. Nonequilibrium FDT plots can therefore not be used to define a meaningful effective temperature Teff in this model. Consequences for the wider applicability of an FDT-derived Teff are discussed.

Item Type:	Article
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:	04 Dec 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/972

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