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- Chiral_Potts_model abstract "The Chiral Potts model is a spin model on a planar lattice in statistical mechanics. As with the Potts model, each spin can take n=0,...N-1 values. To each pair of nearest neighbor of spins n and n', a Boltzmann weight W(n-n') (Boltzmann factor) is assigned. The model is chiral, meaning W(n-n')≠ W(n'-n). When its weights satisfy the Yang-Baxter equation, (or the star-triangle relation), it is integrable. For the integrable Chiral Potts model, its weights are parametrized by a high genus curve, the Chiral Potts curve.Unlike the other solvable models,whose weights are parametrized by curves of genus less or equal to one, so that they can be expressed in term of trigonometric, or rational function (genus=0) or by theta functions (genus=1), this model involves high genus theta functions, which are not yet well developed. Therefore, it was thought that no progress could be made for such a difficult problem. Yet, many breakthroughs have been made since the 1990s. It must be stressed again that the Chiral Potts model was not invented because it was integrable but the integrable case was found, after it was introduced to explain experimental data. In a very profound way physics is here far ahead of mathematics. The history and its development will be presented here briefly.".
- Chiral_Potts_model wikiPageID "40284592".
- Chiral_Potts_model wikiPageLength "10034".
- Chiral_Potts_model wikiPageOutDegree "15".
- Chiral_Potts_model wikiPageRevisionID "621822246".
- Chiral_Potts_model wikiPageWikiLink Boltzmann_distribution.
- Chiral_Potts_model wikiPageWikiLink Boltzmann_factor.
- Chiral_Potts_model wikiPageWikiLink Category:Lattice_models.
- Chiral_Potts_model wikiPageWikiLink Category:Spin_models.
- Chiral_Potts_model wikiPageWikiLink Category:Statistical_mechanics.
- Chiral_Potts_model wikiPageWikiLink Chiral_Potts_curve.
- Chiral_Potts_model wikiPageWikiLink Fermat_curve.
- Chiral_Potts_model wikiPageWikiLink Potts_model.
- Chiral_Potts_model wikiPageWikiLink Star-triangle_relation.
- Chiral_Potts_model wikiPageWikiLink Statistical_mechanics.
- Chiral_Potts_model wikiPageWikiLink Theta_function.
- Chiral_Potts_model wikiPageWikiLink Theta_functions.
- Chiral_Potts_model wikiPageWikiLink Vertex_model.
- Chiral_Potts_model wikiPageWikiLink Yang-Baxter_equation.
- Chiral_Potts_model wikiPageWikiLink Yang–Baxter_equation.
- Chiral_Potts_model wikiPageWikiLinkText "chiral Potts model".
- Chiral_Potts_model hasPhotoCollection Chiral_Potts_model.
- Chiral_Potts_model wikiPageUsesTemplate Template:Reflist.
- Chiral_Potts_model subject Category:Lattice_models.
- Chiral_Potts_model subject Category:Spin_models.
- Chiral_Potts_model subject Category:Statistical_mechanics.
- Chiral_Potts_model hypernym Model.
- Chiral_Potts_model type Person.
- Chiral_Potts_model comment "The Chiral Potts model is a spin model on a planar lattice in statistical mechanics. As with the Potts model, each spin can take n=0,...N-1 values. To each pair of nearest neighbor of spins n and n', a Boltzmann weight W(n-n') (Boltzmann factor) is assigned. The model is chiral, meaning W(n-n')≠ W(n'-n). When its weights satisfy the Yang-Baxter equation, (or the star-triangle relation), it is integrable.".
- Chiral_Potts_model label "Chiral Potts model".
- Chiral_Potts_model sameAs m.0wxp0nh.
- Chiral_Potts_model sameAs Q17004982.
- Chiral_Potts_model sameAs Q17004982.
- Chiral_Potts_model wasDerivedFrom Chiral_Potts_model?oldid=621822246.
- Chiral_Potts_model isPrimaryTopicOf Chiral_Potts_model.