Q-states Potts model and Ashkin-Teller model

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

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

related items

• Cartan matrices E n
• Temperley-Lieb algebra

 

 

encyclopedia

• http://en.wikipedia.org/wiki/Potts_model

 

 

books

• Potts model and related problems in statistical mechanics
  
  • P. Martin
    

 

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