Exactly Solved Models in Statistical Mechanics (Dover Books on Physics)

Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author’s 2007 update on subsequent developments. Preface 1. Basic Statistical Mechanics 2. The One-dimensional Ising Model 3. The Mean Field Model 4. Ising Model on the Bethe Lattice 5. The Spherical Model 6. Duality and Star-Triangle Transformations of Planar Ising Models 7. Square-Lattice Ising Model 8. Ice-Type Models 9. Alternative Way of Solving the Ice-Type Models 10. Square Lattice Eight-Vertex Model 11. Kagom Lattice Eight-Vertex Model 12. Potts and Ashkin-Teller Models 13. Corner Transfer Matrices 14. Hard Hexagon and Related Models 15. Elliptic Functions 16. Subsequent Developments References Supplementary References Index