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by Rodney J. Baxter
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ISBN: 0486462714 Dover Publications Price: $25.95 |
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This text explores the solution of two-dimensional lattice models. Topics include basic statistical mechanics, Ising models, the mean field model, the spherical model, ice-type models, corner transfer matrices, hard hexagonal models, and elliptic functions. The author has updated the 1989 version with a new chapter, "Subsequent Developments," for the 2007 edition.
Reprint of the Academic Press, London, 1989 edition.
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Table of Contents for Exactly Solved Models in Statistical Mechanics
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