Gérard Ben Arous et al J. Stat. Mech. (2008) L04003 doi:10.1088/1742-5468/2008/04/L04003
Gérard Ben Arous1, Anton Bovier2,3 and Jiří Černý4
Show affiliationsAgeing has become the paradigm for describing dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of the effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range of time scales, ageing occurs precisely as predicted by the random energy model-like trap model of Bouchaud and Dean. This is the first rigorous result concerning ageing in mean field models other than the random energy model and the spherical model.
E-print Number: 0712.1914
Cited: by |
Refers: to
75.10.Nr Spin-glass and other random models
75.50.Lk Spin glasses and other random magnets
81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 04 (April 2008)
Received 5 February 2008, accepted for publication 20 March 2008
Published 11 April 2008
Gérard Ben Arous et al J. Stat. Mech. (2008) L04003
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