"Q-states Potts model and Ashkin-Teller model"의 두 판 사이의 차이

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==introduction==
 
==introduction==
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* 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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* [[3-states Potts model]] = M(5,6) [[minimal models|minimal model]]
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* [[3-states Potts model]] = M(5,6) [[minimal models|minimal model]]
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* recent developments of superintegrable chiral Potts model
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* recent developments of superintegrable chiral Potts model
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*  types<br>
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*  types
 
** self-dual potts model
 
** self-dual potts model
 
** chiral potts model
 
** chiral potts model
  
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==two dimensional water==
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==two dimensional water==
  
 
* modeling freezing water
 
* modeling freezing water
  
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==history==
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
  
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==related items==
 
==related items==
34번째 줄: 26번째 줄:
 
* [[Temperley-Lieb algebra]]
 
* [[Temperley-Lieb algebra]]
  
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==encyclopedia==
 
==encyclopedia==
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* http://ko.wikipedia.org/wiki/[http://ko.wikipedia.org/wiki/Potts ]
 
 
* http://en.wikipedia.org/wiki/Potts_model
 
* http://en.wikipedia.org/wiki/Potts_model
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* http://en.wikipedia.org/wiki/
 
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* http://en.wikipedia.org/wiki/
 
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* http://en.wikipedia.org/wiki/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
  
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==books==
 
==books==
  
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* [http://www.worldscibooks.com/physics/0983.html Potts model and related problems in statistical mechanics]<br>
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* [http://www.worldscibooks.com/physics/0983.html Potts model and related problems in statistical mechanics]
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**  P. Martin<br>
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**  P. Martin
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* [[4909919|찾아볼 수학책]]
 
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* http://gigapedia.info/1/Potts
 
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
  
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==expositions==
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* Au-Yang, Helen, and Jacques H. H. Perk. “About 30 Years of Integrable Chiral Potts Model, Quantum Groups at Roots of Unity and Cyclic Hypergeometric Functions.” arXiv:1601.01014 [math-Ph], January 5, 2016. http://arxiv.org/abs/1601.01014.
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* Perk, Jacques H. H. “The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem.” arXiv:1511.08526 [math-Ph], November 26, 2015. http://arxiv.org/abs/1511.08526.
  
 
==articles==
 
==articles==
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* Au-Yang, Helen, and Jacques H. H. Perk. “CSOS Models Descending from Chiral Potts Models: Degeneracy of the Eigenspace and Loop Algebra.” arXiv:1511.08523 [cond-Mat, Physics:math-Ph], November 26, 2015. http://arxiv.org/abs/1511.08523.
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* [http://prola.aps.org/abstract/RMP/v54/i1/p235_1 The Potts model]<br>
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* Jacobsen, Jesper Lykke. “Critical Points of Potts and O(<math>N</math>) Models from Eigenvalue Identities in Periodic Temperley-Lieb Algebras.” arXiv:1507.03027 [cond-Mat, Physics:math-Ph], July 10, 2015. http://arxiv.org/abs/1507.03027.
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** Fa-Yueh Wu, Rev. Mod. Phys. 54, 235 - 268 (1982)
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* Lencses, M., and G. Takacs. “Confinement in the Q-State Potts Model: An RG-TCSA Study.” arXiv:1506.06477 [cond-Mat, Physics:hep-Th], June 22, 2015. http://arxiv.org/abs/1506.06477.
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* [http://dx.doi.org/10.1088/0305-4470/14/2/005 Critical exponents of two-dimensional Potts and bond percolation models]<br>
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* 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.
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* 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.
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* 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.
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* 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.
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* [http://prola.aps.org/abstract/RMP/v54/i1/p235_1 The Potts model]
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** Fa-Yueh Wu, Rev. Mod. Phys. 54, 235 - 268 (1982)
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* [http://dx.doi.org/10.1088/0305-4470/14/2/005 Critical exponents of two-dimensional Potts and bond percolation models]
 
** H W J Blote , M P Nightingale and B Derrida, 1981
 
** H W J Blote , M P Nightingale and B Derrida, 1981
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* [http://dx.doi.org/10.1098/rspa.1979.0023 Some Exact Results for the Ashkin-Teller Model]<br>
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* [http://dx.doi.org/10.1098/rspa.1979.0023 Some Exact Results for the Ashkin-Teller Model]
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**  Temperley, H. N. V.; Ashley, Susan E, 1979<br>
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**  Temperley, H. N. V.; Ashley, Susan E, 1979
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* [[2010년 books and articles|논문정리]]
 
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* http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
 
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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
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* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
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* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
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* http://dx.doi.org/
 
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==question and answers(Math Overflow)==
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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==blogs==
 
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*  구글 블로그 검색<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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** http://blogsearch.google.com/blogsearch?q=
 
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** http://blogsearch.google.com/blogsearch?q=
 
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==experts on the field==
 
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* http://arxiv.org/
 
  
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[[분류:integrable systems]]
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[[분류:math and physics]]
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[[분류:migrate]]
  
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==TeX ==
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q7235385 Q7235385]
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===Spacy 패턴 목록===
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* [{'LOWER': 'potts'}, {'LEMMA': 'model'}]

2021년 2월 17일 (수) 01:42 기준 최신판

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



related items



encyclopedia



books


expositions

  • Au-Yang, Helen, and Jacques H. H. Perk. “About 30 Years of Integrable Chiral Potts Model, Quantum Groups at Roots of Unity and Cyclic Hypergeometric Functions.” arXiv:1601.01014 [math-Ph], January 5, 2016. http://arxiv.org/abs/1601.01014.
  • Perk, Jacques H. H. “The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem.” arXiv:1511.08526 [math-Ph], November 26, 2015. http://arxiv.org/abs/1511.08526.

articles

  • Au-Yang, Helen, and Jacques H. H. Perk. “CSOS Models Descending from Chiral Potts Models: Degeneracy of the Eigenspace and Loop Algebra.” arXiv:1511.08523 [cond-Mat, Physics:math-Ph], November 26, 2015. http://arxiv.org/abs/1511.08523.
  • Jacobsen, Jesper Lykke. “Critical Points of Potts and O(\(N\)) Models from Eigenvalue Identities in Periodic Temperley-Lieb Algebras.” arXiv:1507.03027 [cond-Mat, Physics:math-Ph], July 10, 2015. http://arxiv.org/abs/1507.03027.
  • Lencses, M., and G. Takacs. “Confinement in the Q-State Potts Model: An RG-TCSA Study.” arXiv:1506.06477 [cond-Mat, Physics:hep-Th], June 22, 2015. http://arxiv.org/abs/1506.06477.
  • 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

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'potts'}, {'LEMMA': 'model'}]
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