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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 4 eps figures. v2: published version

Scientific paper

10.1103/PhysRevLett.87.087204

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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