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Statistical Mechanics of Lattice Systems : Volume 2: Exact, Series and Renormalization Group Methods 🔍
Dr. David A. Lavis, Professor George M. Bell (auth.) Springer-Verlag Berlin Heidelberg, Texts and Monographs in Physics, 1, 1999
英语 [en] · PDF · 9.4MB · 1999 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces the reader to the main areas in statistical mechanics and the theory of phase transitions. The development is built on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods. Volume 2 includes extensive treatments of scaling theory, algebraic and real-space group renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-3-662-10020-2.pdf
备用文件名
nexusstc/Statistical Mechanics of Lattice Systems/46a7e86691c1969780c084adcbeaa2fa.pdf
备用文件名
scihub/10.1007/978-3-662-10020-2.pdf
备用文件名
zlib/Science (General)/Dr. David A. Lavis, Professor George M. Bell (auth.)/Statistical Mechanics of Lattice Systems: Volume 2: Exact, Series and Renormalization Group Methods_2122579.pdf
备选作者
Lavis, David A., Bell, George M.
备选作者
D. Lavis, Bell, G. M
备用出版商
Spektrum Akademischer Verlag. in Springer-Verlag GmbH
备用出版商
Springer Berlin Heidelberg : Imprint: Springer
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
Springer-verlag New York, Llc
备用出版商
Springer London, Limited
备用出版商
Springer Nature
备用版本
Texts and monographs in physics, 2nd, rev. and enl. ed, Berlin ; New York, ©1999
备用版本
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2013
备用版本
Theoretical and Mathematical Physics, 1st ed. 1999, Berlin, Heidelberg, 1999
备用版本
Texts and Monographs in Physics, Berlin, Heidelberg, 1999
备用版本
Germany, Germany
备用版本
Dec 07, 2010
备用版本
1, 20130629
元数据中的注释
sm41116609
元数据中的注释
{"edition":"1","isbns":["3642084109","3662100207","9783642084102","9783662100202"],"last_page":430,"publisher":"Springer","series":"Texts and Monographs in Physics"}
元数据中的注释
Source title: Statistical Mechanics of Lattice Systems 2: Exact, Series and Renormalization Group Methods (Theoretical and Mathematical Physics)
备用描述
Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multipartiele energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this subject has developed very rapidly over the last thirty years. ' In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap proximation methods. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1. Apart from this much of the discussion in Volume 1 is concerned with mean-field theory. Although this is known not to give reliable results elose to a critical region, it often provides a good qualitative picture for phase diagrams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available. In this volume our main concern is with scaling theory, algebraic methods and the renormalization group.
Erscheinungsdatum: 01.12.2010
备用描述
<p>This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces the reader to the main areas in statistical mechanics and the theory of phase transitions. The development is built on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods. Volume 2 includes extensive treatments of scaling theory, algebraic and real-space renormalization group methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.</p>
备用描述
Front Matter....Pages I-XII
Thermodynamics and Statistical Mechanics....Pages 1-14
Phase Transitions and Scaling Theory....Pages 15-87
Landau and Landau-Ginzburg Theory....Pages 89-112
Algebraic Methods in Statistical Mechanics....Pages 113-165
The Eight-Vertex Model....Pages 167-202
Real-Space Renormalization Group Theory....Pages 203-249
Series Methods....Pages 251-302
Dimer Assemblies....Pages 303-333
Back Matter....Pages 335-431
开源日期
2013-08-01
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