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==introduction== | ==introduction== | ||
| − | + | * The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered states, in which some degrees of freedom remain disordered | |
* Potts model is the spin model for which the Boltzmann weights depend only on whether the two atoms are in the same state or not. | * Potts model is the spin model for which the Boltzmann weights depend only on whether the two atoms are in the same state or not. | ||
* 2-states Potts model = [[Ising models|Ising model]] M(3,4) minimal model | * 2-states Potts model = [[Ising models|Ising model]] M(3,4) minimal model | ||
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==encyclopedia== | ==encyclopedia== | ||
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* http://en.wikipedia.org/wiki/Potts_model | * http://en.wikipedia.org/wiki/Potts_model | ||
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* [http://www.worldscibooks.com/physics/0983.html Potts model and related problems in statistical mechanics]<br> | * [http://www.worldscibooks.com/physics/0983.html Potts model and related problems in statistical mechanics]<br> | ||
** P. Martin<br> | ** P. Martin<br> | ||
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==articles== | ==articles== | ||
| − | + | * Qin, M. P., Q. N. Chen, Z. Y. Xie, J. Chen, J. F. Yu, H. H. Zhao, B. Normand, and T. Xiang. ‘Partial Long-Range Order in Antiferromagnetic Potts Models’. Physical Review B 90, no. 14 (21 October 2014). doi:10.1103/PhysRevB.90.144424. | |
* [http://prola.aps.org/abstract/RMP/v54/i1/p235_1 The Potts model]<br> | * [http://prola.aps.org/abstract/RMP/v54/i1/p235_1 The Potts model]<br> | ||
** Fa-Yueh Wu, Rev. Mod. Phys. 54, 235 - 268 (1982) | ** Fa-Yueh Wu, Rev. Mod. Phys. 54, 235 - 268 (1982) | ||
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** Temperley, H. N. V.; Ashley, Susan E, 1979<br> | ** Temperley, H. N. V.; Ashley, Susan E, 1979<br> | ||
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[[분류:integrable systems]] | [[분류:integrable systems]] | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
2014년 10월 26일 (일) 22:01 판
introduction
- The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered states, in which some degrees of freedom remain disordered
- Potts model is the spin model for which the Boltzmann weights depend only on whether the two atoms are in the same state or not.
- 2-states Potts model = Ising model M(3,4) minimal model
- 3-states Potts model = M(5,6) minimal model
- recent developments of superintegrable chiral Potts model
- types
- self-dual potts model
- chiral potts model
two dimensional water
- modeling freezing water
history
encyclopedia
books
articles
- Qin, M. P., Q. N. Chen, Z. Y. Xie, J. Chen, J. F. Yu, H. H. Zhao, B. Normand, and T. Xiang. ‘Partial Long-Range Order in Antiferromagnetic Potts Models’. Physical Review B 90, no. 14 (21 October 2014). doi:10.1103/PhysRevB.90.144424.
- The Potts model
- Fa-Yueh Wu, Rev. Mod. Phys. 54, 235 - 268 (1982)
- Critical exponents of two-dimensional Potts and bond percolation models
- H W J Blote , M P Nightingale and B Derrida, 1981
- Some Exact Results for the Ashkin-Teller Model
- Temperley, H. N. V.; Ashley, Susan E, 1979
- Temperley, H. N. V.; Ashley, Susan E, 1979