Thermodynamic origin of order parameters in mean-field models of spin glasses

Details Thermodynamic origin of order parameters in mean-field models of spin glasses Thermodynamic origin of order parameters in mean-field models of spin glasses

2005-04-06

arxiv.org/abs/cond-mat/0504132v1

Phys. stat. sol. b 243, 716 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

REVTeX4, 13 pages, 8 EPS figures

Scientific paper

We analyze thermodynamic behavior of general $n$-component mean-field spin glass models in order to identify origin of the hierarchical structure of the order parameters from the replica-symmetry breaking solution. We derive a configurationally dependent free energy with local magnetizations and averaged local susceptibilities as order parameters. On an example of the replicated Ising spin glass we demonstrate that the hierarchy of order parameters in mean-field models results from the structure of inter-replica susceptibilities. These susceptibilities serve for lifting the degeneracy due to the existence of many metastable states and for recovering thermodynamic homogeneity of the free energy.

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