Mean field theory of spin glasses

Details Mean field theory of spin glasses Mean field theory of spin glasses

2010-08-28

arxiv.org/abs/1008.4844v2

Physics

Condensed Matter

Statistical Mechanics

Lecture notes, 68 pages, 16 figures, improved version with respect to v1

Scientific paper

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 models defined on random lattices. This will be done using the replica and cavity methods.

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