This book presents the advances made in Statistical Mechanics of the last 50 years, including mathematical theorems on order and phase transitions; numerical and series computations of phase diagrams; and solutions for important solvable models including Ising and 8 vertex.
This book presents the advances made in Statistical Mechanics of the last 50 years, including mathematical theorems on order and phase transitions; numerical and series computations of phase diagrams; and solutions for important solvable models including Ising and 8 vertex.
Barry M. McCoy is currently Distinguished Professor of Physics at C.N.Yang Institute for Theoretical Physics, at the State University of New York. He took his PhD at Harvard University in 1967, and has since had various positions, including the Editorial Board of the Ramanujan Journal, the Editorial Board of Journal of Physics A, Resident at the Bellagio Conference and Study Center of the Rockefeller Foundation, and Miller Professor at University of California at Berkeley. In 1999 he won the Dannie Heineman Prize for Mathematical Physics.
Inhaltsangabe
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
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
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