Beyond the mean field approximation for spin glasses
نویسندگان
چکیده
منابع مشابه
Beyond the mean field approximation for spin glasses.
We study the d-dimensional random Ising model using a suitable type of BethePeierls approximation in the framework of the replica method. We take into account the correct interaction only inside replicated clusters of spins. Our ansatz is that the interaction of the borders of the clusters with the external world can be described via an effective interaction among replicas. The Bethe-Peierls mo...
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2014 The infinite-ranged spin glass model is studied in the general case of m-component spins. Results for the magnetization laws, the shape of the phase diagram, the nature of the transitions are presented. J. Physique LETTRES 42 (1981) L-103 L-106 1 PI MARS 1981, Classification Physics Abstracts 05.50 75.50K The infinite-ranged model [1], introduced by D. Sherrington and S. Kirkpatrick (SK), ...
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Translation from physics: ‘Glass’: a material which is hard and inflexible (like a solid) but is not completely ordered or lattice-like in its microscropic structure (thus, unlike a crystal or simple metals). ‘Spin’: pertaining to the magnetic spins of ions in a material. ‘Spin glass’: a material, effectively solid, which contains some irregular distribution of magnetizable ions. Basic laborato...
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We study the correlations between two equilibrium states of SK spin glasses at different temperatures or magnetic fields. The question, presiously investigated by Kondor and Kondor and Végsö, is approached here constraining two copies of the same system at different external parameters to have a fixed overlap. We find that imposing an overlap different from the minimal one implies an extensive ...
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These lecture notes have been prepared for a course in Trieste, part of the Ph.D. program in Statistical Mechanics. They focus on the mean field theory of spin glasses, with particular emphasis on the presence of a very large number of metastable states in these systems. This phenomenon, and some of its physical consequences, will be discussed in details for fully-connected models and for model...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1996
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.54.4637