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Original Paper
Thermodynamic origin of order parameters in mean-field models of spin glasses
Article first published online: 5 JAN 2006
DOI: 10.1002/pssb.200541070
Copyright © 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Additional Information
How to Cite
Janiš, V. and Zdeborová, L. (2006), Thermodynamic origin of order parameters in mean-field models of spin glasses. physica status solidi (b), 243: 716–731. doi: 10.1002/pssb.200541070
Publication History
- Issue published online: 18 JAN 2006
- Article first published online: 5 JAN 2006
- Manuscript Accepted: 22 NOV 2005
- Manuscript Revised: 26 OCT 2005
- Manuscript Received: 14 JUN 2005
- Abstract
- References
- Cited By
Keywords:
- 05.50.+q;
- 75.10.Nr
Abstract
We analyze the thermodynamic behavior of general n -component mean-field spin glass models in order to identify the 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. Using 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 the thermodynamic homogeneity of the free energy. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)