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Out of equilibrium dynamics in spin-glasses and other glassy systems

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arxiv cond-mat/9702070 v1 pith:GAJ4Q2H5 submitted 1997-02-07 cond-mat.dis-nn cond-mat.stat-mech

Out of equilibrium dynamics in spin-glasses and other glassy systems

Jean-Philippe Bouchaud , Leticia F. Cugliandolo , Jorge Kurchan , Marc Mezard This is my paper
classification cond-mat.dis-nn cond-mat.stat-mech
keywords dynamicsmodelsglassyagingmean-fieldmode-couplingproblemsaddress
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We review recent theoretical progress on glassy dynamics, with special emphasis on the importance and universality of the ``aging regime'', which is relevant to many experimental situations. The three main subjects which we address are: (i) Phenomenological models of aging (coarsening, trap models), (ii) Analytical results for the low-temperature dynamics of mean-field models (corresponding to the mode-coupling equations); and (iii) Simple non-disordered models with glassy dynamics. We discuss the interrelation between these approaches, and also with previous work in the field. Several open problems are underlined -- in particular the precise relation between mean-field like (or mode-coupling) descriptions and finite dimensional problems.

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