Advanced Statistical Mechanics (Paperback)

Barry M. McCoy

ISBN 10: 0198744269 / ISBN 13: 9780198744269

Published by Oxford University Press, Oxford, 2015

About this Item

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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780198744269

Bibliographic Details

• Title: Advanced Statistical Mechanics (Paperback)
• Publisher: Oxford University Press, Oxford
• Publication Date: 2015
• Language: English
• ISBN 10: 0198744269
• ISBN 13: 9780198744269
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

Barry M McCoy, Institute for Theoretical Physics, State University of New York, Stony Brook

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.