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Three-state Potts model and anomalous tricritical points
Open accessAbstract
Thirteen terms are presented of the low-temperature series for the free energy of the three-state Potts model in arbitrary external fields. Extrapolation of the series for specific heat, order parameter, and susceptibilities indicates that the transition in zero field is continuous (in contrast to the Landau prediction) with exponents alpha = alpha '=0.05+or-0.10, beta =0.10+or-0.01, gamma ' approximately=1.5+or-0.2 and gamma ' perpendicular to =1.1+or-0.1. These conclusions suggest the presence of an 'anomalous' tricritical point in the model; the associated phase diagram is discussed and contrasted with phenomenological predictions.
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Citations
Cited by
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Theory of first-order phase transitions
Binder, K. (1987) · Reports on Progress in Physics · doi:10.1088/0034-4885/50/7/001 · Cited by 1,076
Monte Carlo Renormalization Group
Swendsen, R. H. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.859 · Cited by 324
Renormalization-group treatment of a Potts lattice gas for krypton adsorbed onto graphite
Berker, A. N., Ostlund, S., & Putnam, F. A. (1978) · Physical Review B · doi:10.1103/physrevb.17.3650 · Cited by 275
Commensurate melting, domain walls, and dislocations
Huse, D. A., & Fisher, M. E. (1984) · Physical Review B · doi:10.1103/physrevb.29.239 · Cited by 255
Self-citation
Metadata
- Authors
- Straley, J. P., & Fisher, M. E.
- Venue
- Journal of Physics A: Mathematical, Nuclear and General
- Publisher
- IOP Publishing
- Published
- 1973-09-01
- Volume
- 6
- Issue
- 9
- Pages
- 1310-1326
- ISSN
- 0301-0015 (ISSN-L)
- OpenAlex
- W1979340965
- Cited by
- 190
- References
- 0
- FWCI
- 9.39
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Straley, J. P., & Fisher, M. E. (1973). Three-state Potts model and anomalous tricritical points. Journal of Physics A: Mathematical, Nuclear and General. https://doi.org/10.1088/0305-4470/6/9/007
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