Advanced Statistical Mechanics
暫譯: 進階統計力學

McCoy, Barry M.

Advanced Statistical Mechanics

商品描述

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.

商品描述(中文翻譯)

統計力學是研究互動粒子數量變為無限的系統。在過去五十年中，取得了巨大的進展，這些進展需要全新數學領域的發明，例如量子群和仿射李代數。這些進展引發了關於非線性微分方程和代數幾何的顯著發現，並在凝聚態物理和量子場論中產生了深刻的見解。不幸的是，這些進展在統計力學的研究生課程中並未教授。

本書旨在糾正這一問題。它以晶體和磁體的有序（及無序）存在性定理以及臨界現象理論開始，接著介紹了五十年來相變的分析和計算機計算方法及結果。最後，書中廣泛介紹了四個最重要的精確解問題：伊辛模型（Ising model）、八頂點模型（8 vertex model）、硬六邊形模型（hard hexagon model）和手性波茲模型（chiral Potts model）。

作者簡介

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.

作者簡介(中文翻譯)

巴里·M·麥考伊，紐約州立大學理論物理研究所

巴里·M·麥考伊目前是紐約州立大學C.N.楊理論物理研究所的傑出物理學教授。他於1967年在哈佛大學獲得博士學位，並曾擔任多個職位，包括《拉馬努詹期刊》的編輯委員會成員、《物理學A期刊》的編輯委員會成員、洛克菲勒基金會貝拉吉奧會議與研究中心的駐地學者，以及加州大學伯克利分校的米勒教授。1999年，他獲得了丹尼·海寧曼數學物理獎。

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