Advanced Statistical Mechanics

Advanced Statistical Mechanics

by Barry M McCoy
     
 

ISBN-10: 0199556636

ISBN-13: 9780199556632

Pub. Date: 02/28/2010

Publisher: Oxford University Press

Statistical Mechanics is the study of systems where the number of interacting particles becomes infinite. In the last fifty years tremendous advances have been made which have required the invention of entirely new fields of mathematics such as quantum groups and affine Lie algebras. They have engendered remarkable discoveries concerning non-linear differential

Overview

Statistical Mechanics is the study of systems where the number of interacting particles becomes infinite. In the last fifty years tremendous advances have been made which have required the invention of entirely new fields of mathematics such as quantum groups and affine Lie algebras. They have engendered remarkable discoveries concerning non-linear differential equations and algebraic geometry, and have produced profound insights in both condensed matter physics and quantum field theory. Unfortunately, none of these advances are taught in graduate courses in statistical mechanics.

This book is an attempt to correct this problem. It begins with theorems on the existence (and lack) of order for crystals and magnets and with the theory of critical phenomena, and continues by presenting the methods and results of fifty years of analytic and computer computations of phase transitions. It concludes with an extensive presentation of four of the most important of exactly solved problems: the Ising, 8 vertex, hard hexagon and chiral Potts models.

Product Details

ISBN-13:
9780199556632
Publisher:
Oxford University Press
Publication date:
02/28/2010
Series:
International Series of Monographs on Physics Series, #146
Edition description:
New Edition
Pages:
640
Product dimensions:
6.70(w) x 9.80(h) x 1.40(d)

Table of Contents

1. Basic Principles
2. Reductionism, Phenomena and Models
3. Stability, Existence and Uniqueness
4. Theorems on Order
5. Critical Phenomena and Scaling Theory
6. Mayer Virial Expansions and Groenevelt's Theorems
7. Ree-Hoover Virial Expansion and Hard Spheres
8. High Density Expansions
9. High Temperature Expansions for Magnets at H=0
10. The Ising Model in Two Dimensions; Summary of Results
11. The Pfaffian Solution of the Ising Model
12. Ising Model Spontaneous Magnetization, Form Factors and Susceptibility
13. The Star-Triangle (Yang-Baxter) Equation
14. The Eight Vertex and XYZ models
15. The RSOS and the Chiral Potts models
16. Conclusion

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >