The Two-Dimensional Ising Model, 2/e (Paperback)
暫譯: 二維伊辛模型，第二版（平裝本）

Barry M. McCoy, Prof. Tai Tsun Wu

The Two-Dimensional Ising Model, 2/e (Paperback)
  • 出版商: Dover Publications
  • 出版日期: 2014-04-16
  • 售價: $1,280
  • 貴賓價: 9.8 折 $1,254
  • 語言: 英文
  • 頁數: 480
  • 裝訂: Paperback
  • ISBN: 0486493350
  • ISBN-13: 9780486493350

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商品描述

"Of all the systems in statistical mechanics on which exact calculations have been performed," declare the authors of this text, "the two-dimensional Ising model is not only the most thoroughly investigated; it is also the richest and most profound." Originally published in 1973, this is the definitive survey of the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments. Geared toward advanced undergraduates and graduate students of physics, it is also suitable for physicists working in statistical mechanics and related fields.
Following a brief introductory chapter, the book explores statistical mechanics, the one-dimensional Ising model, dimer statistics, specific heat of Onsager's lattice in the absence of a magnetic field, boundary specific heat and magnetization, and boundary spin-spin correlation functions. Subsequent chapters cover the correlation functions, Wiener-Hopf sum equations, spontaneous magnetization, behavior of the correlation functions, asymptotic expansion, and boundary hysteresis and spin probability functions. Two other chapters examine Ising models with random impurities in terms of specific heat and boundary effects. The book concludes with a new chapter examining developments in the field since 1973.

商品描述(中文翻譯)

「在所有已進行精確計算的統計力學系統中，」本書的作者宣稱，「二維伊辛模型不僅是最徹底研究的模型；它也是最豐富和最深刻的模型。」本書最初於1973年出版，是伊辛模型的權威調查，該模型是統計力學中描述鐵磁性的數學模型。這一經過更新的經典版本包含了關於新發展的廣泛部分。該書面向高年級本科生和研究生，對於從事統計力學及相關領域的物理學家也適用。

在簡短的介紹章節之後，本書探討了統計力學、一維伊辛模型、二聚體統計、在無磁場下的翁薩格晶格的比熱、邊界比熱和磁化、以及邊界自旋-自旋相關函數。隨後的章節涵蓋了相關函數、維納-霍夫求和方程、自發磁化、相關函數的行為、漸近展開，以及邊界滯後和自旋概率函數。還有兩個章節從比熱和邊界效應的角度檢視了具有隨機雜質的伊辛模型。本書最後一章探討了自1973年以來該領域的發展。

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