"Q-states Potts model and Ashkin-Teller model"의 두 판 사이의 차이
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| 53번째 줄: | 53번째 줄: | ||
==articles== | ==articles== | ||
| + | * Molkaraie, Mehdi, and Vicenc Gomez. ‘Efficient Monte Carlo Methods for the Potts Model at Low Temperature’. arXiv:1506.07044 [physics, Stat], 23 June 2015. http://arxiv.org/abs/1506.07044. | ||
* Ikhlef, Yacine, and Robert Weston. ‘Discrete Holomorphicity in the Chiral Potts Model’. arXiv:1502.04944 [cond-Mat, Physics:hep-Th, Physics:math-Ph], 17 February 2015. http://arxiv.org/abs/1502.04944. | * Ikhlef, Yacine, and Robert Weston. ‘Discrete Holomorphicity in the Chiral Potts Model’. arXiv:1502.04944 [cond-Mat, Physics:hep-Th, Physics:math-Ph], 17 February 2015. http://arxiv.org/abs/1502.04944. | ||
* Dasu, Shival, and Matilde Marcolli. “Potts Models with Magnetic Field: Arithmetic, Geometry, and Computation.” arXiv:1412.7925 [math-Ph], December 26, 2014. http://arxiv.org/abs/1412.7925. | * Dasu, Shival, and Matilde Marcolli. “Potts Models with Magnetic Field: Arithmetic, Geometry, and Computation.” arXiv:1412.7925 [math-Ph], December 26, 2014. http://arxiv.org/abs/1412.7925. | ||
| 63번째 줄: | 64번째 줄: | ||
** 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]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
2015년 7월 5일 (일) 02:01 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
- Molkaraie, Mehdi, and Vicenc Gomez. ‘Efficient Monte Carlo Methods for the Potts Model at Low Temperature’. arXiv:1506.07044 [physics, Stat], 23 June 2015. http://arxiv.org/abs/1506.07044.
- Ikhlef, Yacine, and Robert Weston. ‘Discrete Holomorphicity in the Chiral Potts Model’. arXiv:1502.04944 [cond-Mat, Physics:hep-Th, Physics:math-Ph], 17 February 2015. http://arxiv.org/abs/1502.04944.
- Dasu, Shival, and Matilde Marcolli. “Potts Models with Magnetic Field: Arithmetic, Geometry, and Computation.” arXiv:1412.7925 [math-Ph], December 26, 2014. http://arxiv.org/abs/1412.7925.
- 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