Advanced Statistical Mechanics (International Series of Monographs on Physics (146))

Mccoy Presents The Advances Made In Statistical Mechanics Over 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 Such As Ising And 8 Vortex. Pt. I. General Theory -- 1. Basic Principles -- 2. Reductionism, Phenomena And Models -- 3. Stability, Existence And Uniqueness -- 4. Theorems On Order -- 5. Critical Phenomena And Scaling Theory -- Pt. Ii. Series And Numerical Methods -- 6. Mayer Virial Expansions And Groeneveld's Theorems -- 7. Ree-hoover Virial Expansion And Hard Particles -- 8. High Density Expansions -- 9. High Temperature Expansions For Magnets At H = 0 -- Pt. Iii. Exactly Solvable Models -- 10. Ising Model In Two Dimensions: Summary Of Results -- 11. Pfaffian Solution Of The Ising Model -- 12. Ising Model Spontaneous Magnetization And Form Factors -- 13. Star-triangle (yang-baxter) Equation -- 14. Eight-vertex And Xyz Model -- 15. Hard Hexagon, Rsos And Chiral Potts Models -- Pt. Iv. Conclusion -- 16. Reductionism Versus Complexity. Barry M. Mccoy. Includes Bibliographical References And Index.