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Real space application of the mean-field description of spin glass dynamics

Alain Barrat·Ludovic Berthier
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Abstract

The out of equilibrium dynamics of finite dimensional spin glasses is considered from a point of view going beyond the standard `mean-field theory' versus `droplet picture' debate of the last decades. The main predictions of both theories concerning the spin glass dynamics are discussed. It is shown, in particular, that predictions originating from mean-field ideas concerning the violations of the fluctuation-dissipation theorem apply quantitatively, provided one properly takes into account the role of the spin glass coherence length which plays a central role in the droplet picture. Dynamics in a uniform magnetic field is also briefly discussed.

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Alain Barrat, Ludovic Berthier. 2001-08-02. Real space application of the mean-field description of spin glass dynamics. https://doi.org/10.1103/physrevlett.87.087204

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