Abstract:We introduce the basic spin glass models, namely the Edwards–Anderson model on a finite-dimensional lattice with short-range interaction and the Sherrington–Kirkpatrick model on the complete graph. Th...We introduce the basic spin glass models, namely the Edwards–Anderson model on a finite-dimensional lattice with short-range interaction and the Sherrington–Kirkpatrick model on the complete graph. The quenched equilibrium state which is used to describe the thermodynamical properties of a general disordered system is defined, together with the concept of real replicas. The notion of mean-field for a spin glass model is discussed. Finally, the original computations for the Sherrington–Kirkpatrick model based on the replica method are presented – namely the replica symmetric solution and the Parisi replica symmetry breaking scheme.Read More
Publication Year: 2012
Publication Date: 2012-10-18
Language: en
Type: book-chapter
Indexed In: ['crossref']
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