The Two-Dimensional Ising Model

Second Edition

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics
Cover of the book The Two-Dimensional Ising Model by Barry M. McCoy, Prof. Tai Tsun Wu, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Barry M. McCoy, Prof. Tai Tsun Wu ISBN: 9780486783123
Publisher: Dover Publications Publication: March 5, 2014
Imprint: Dover Publications Language: English
Author: Barry M. McCoy, Prof. Tai Tsun Wu
ISBN: 9780486783123
Publisher: Dover Publications
Publication: March 5, 2014
Imprint: Dover Publications
Language: English

"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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

"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.

More books from Dover Publications

Cover of the book Path Integrals and Quantum Processes by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book The Philosophy of Set Theory by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Meditations by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Introduction to Fluid Dynamics by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book The Lawless Decade by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Annie Oakley and Buffalo Bill's Wild West by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Twelfth Night Thrift Study Edition by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Art and Geometry by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book The Art of Bookbinding by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Medicinal and Other Uses of North American Plants by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Gunga Din and Other Favorite Poems by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book About Sketching by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Strangers No More by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Gaslit Horror: Stories by Robert W. Chambers, Lafcadio Hearn, Bernard Capes and Others by Barry M. McCoy, Prof. Tai Tsun Wu
Cover of the book Problems in Differential Equations by Barry M. McCoy, Prof. Tai Tsun Wu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy