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Dynamic mean field theory of the SK-spin glass

I. Regularization by bond dynamics

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The dynamic infinite range SK model for a spin glass is generalized by considering the bonds as slowly time-dependent. This allows to regularize the long-time behaviour even in the thermodynamic limit, contrary to the corresponding treatment by Sompolinsky and Zippelius. Depending on the order in which limits are taken the model describes annealed or quenched disorder. Below the Almeida-Thouless border of stability the solution found by Sompolinsky and Zippelius is unique unless causality or homogeneity in time are violated.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Ruprecht-Karls-Universität, Philosophenweg 19, D-6900, Heidelberg, Germany

    H. Horner

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  1. H. Horner
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Horner, H. Dynamic mean field theory of the SK-spin glass. Z. Physik B - Condensed Matter 57, 29–37 (1984). https://doi.org/10.1007/BF01679923

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  • DOI: https://doi.org/10.1007/BF01679923

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