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Advanced Statistical Mechanics[B.M.McCoy]
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书名：Advanced Statistical Mechanics 作者：Barry M. McCoy 出版社：Oxford University Press 2010 格式：PDF McCoy是统计物理中可解模型的专家。对二维Ising模型，Chiral Potts模型，共形场论等学科分支有重要贡献。 本书出版于2010年，对统计物理的现代发展做了描述。本书风格倾向于数学物理，侧重严格证明和可解模型。 Description 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. Features Self contained summary of advances in statistical mechanics in the last fifty years Detailed historical chronologies of the development of all topics treated Many exactly solved nontrivial problems done in detail Many open problems and conjectures presented Extensive use of computer results to obtain analytic insight About the Author(s) 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.   |
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