The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Random-energy model: An exactly solvable model of disordered systems
Abstract
A simple model of disordered systems---the random-energy model---is introduced and solved. This model is the limit of a family of disordered models, when the correlations between the energy levels become negligible. The model exhibits a phase transition and the low-temperature phase is completely frozen. The corrections to the thermodynamic limit are discussed in detail. The magnetic properties are studied, and a constant susceptibility is found at low temperature. The phase diagram in the presence of ferromagnetic pair interactions is described. Many results are qualitatively the same as those of the Sherrington-Kirkpatrick model. The problem of using the replica method is analyzed. Lastly, this random-energy model provides lower bounds for the ground-state energy of a large class of spin-glass models.
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Cites
Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
The order parameter for spin glasses: a function on the interval 0-1
Parisi, G. (1980) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/13/3/042 · Cited by 846
Cited by
An Introduction to Genetic Algorithms
Mitchell, M. (1996) · doi:10.7551/mitpress/3927.001.0001 · Cited by 11,340
The Energy Landscapes and Motions of Proteins
Frauenfelder, H., Sligar, S. G., & Wolynes, P. G. (1991) · Science · doi:10.1126/science.1749933 · Cited by 3,250
Funnels, pathways, and the energy landscape of protein folding: A synthesis
Bryngelson, J. D., Onuchic, J. N., Socci, N. D., & Wolynes, P. G. (1995) · Proteins: Structure, Function, and Bioinformatics · doi:10.1002/prot.340210302 · Cited by 2,648
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
THEORY OF PROTEIN FOLDING: The Energy Landscape Perspective
Onuchic, J. N., Luthey-Schulten, Z., & Wolynes, P. G. (1997) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.48.1.545 · Cited by 2,210
Metadata
- Authors
- Derrida, B.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1981-09-01
- Volume
- 24
- Issue
- 5
- Pages
- 2613-2626
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2083715726
- Cited by
- 1,350
- References
- 2
- FWCI
- 0.73
- Type
- journal article
- Language
- en
- Open access
- closed
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