Exactly Solved Models in Statistical Mechanics by Rodney J. Baxter (English) Pap

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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.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

This text explores two-dimensional lattice models in statistical mechanics and illustrates methods for their solution. Comprehensive but concise, it indicates the routes between equations without superfluous details. Author R. J. Baxter is a fellow of the Royal Society of London and the Australian Academy of Science, as well as Emeritus Professor of the Mathematical Sciences Institute at Australian National University, Canberra. Professor Baxter has updated this edition with a new chapter covering recent developments. Starting with a survey of basic statistical mechanics, the treatment proceeds to examinations of the one-dimensional Ising model, the mean field model, the Ising model on the Bethe lattice, and the spherical model. Subsequent chapters address duality and star-triangle transforms of planar Ising models, the square-lattice Ising model, ice-type models, and the square lattice eight-vertex model. Additional topics include the Kagomé lattice eight-vertex model, Potts and Ashkin-Teller models, Corner transfer matrices, hard hexagon and related models, and elliptic functions. Seventy-six figures illuminate the text.

Author Biography

Rodney J. Baxter is Professor Emeritus at Australian National University, Canberra.

Table of Contents

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. Kagome 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

Long Description

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.

Details ISBN0486462714 Author Rodney J. Baxter Short Title EXACTLY SOLVED MODELS IN STATI Language English ISBN-10 0486462714 ISBN-13 9780486462714 Media Book Format Paperback DEWEY 530.13 Year 2008 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Series Dover Books on Physics DOI 10.1604/9780486462714 UK Release Date 2008-02-29 AU Release Date 2008-02-29 NZ Release Date 2008-02-29 US Release Date 2008-02-29 Pages 512 Publisher Dover Publications Inc. Publication Date 2008-02-29 Illustrations Illustrations, unspecified Audience General We've got this

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