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.
Inhaltsverzeichnis
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. Kagomé 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