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Replica symmetry breaking and the nature of the spin glass phase
Open accessAbstract
A probability distribution has been proposed recently by one of us as an order parameter for spin glasses. We show that this probability depends on the particular realization of the couplings even in the thermodynamic limit, and we study its distribution. We also show that the space of states has an ultrametric topology.
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Citations
Cites
Infinite Number of Order Parameters for Spin-Glasses
Parisi, G. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.1754 · Cited by 1,140
Cited by
Information, Physics, and Computation
Mézard, M., & Montanari, A. (2009) · doi:10.1093/acprof:oso/9780198570837.001.0001 · Cited by 1,913
Self-citationStatistical mechanics of neural networks near saturation
Amit, D. J., Gutfreund, H., & Sompolinsky, H. (1987) · Annals of Physics · doi:10.1016/0003-4916(87)90092-3 · Cited by 849
Rammal, R., Toulouse, G., & Virasoro, M. A. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.765 · Cited by 756
Self-citationStable and metastable states in mean-field Potts and structural glasses
Kirkpatrick, T. R., & Wolynes, P. G. (1987) · Physical Review B · doi:10.1103/physrevb.36.8552 · Cited by 484
Spin-glass theory for pedestrians
Castellani, T., & Cavagna, A. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/05/p05012 · Cited by 461
Metadata
- Authors
- Mézard, M., Parisi, G., Sourlas, N., Toulouse, G., & Virasoro, M.
- Venue
- Journal de Physique
- Publisher
- EDP Sciences
- Published
- 1984
- Volume
- 45
- Issue
- 5
- Pages
- 843-854
- ISSN
- 0302-0738 (ISSN-L)
- OpenAlex
- W2047900759
- Cited by
- 446
- References
- 1
- FWCI
- 15.48
- Type
- journal article
- Language
- en
- Open access
- green
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- Mézard, M., Parisi, G., Sourlas, N., Toulouse, G., & Virasoro, M. (1984). Replica symmetry breaking and the nature of the spin glass phase. Journal de Physique. https://doi.org/10.1051/jphys%3A01984004505084300
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