Advanced Statistical Mechanics (Paperback)

Paperback. 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 andquantum 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 beginswith 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…