| 书目名称 | Equilibrium Statistical Mechanics of Lattice Models |
| 编辑 | David A. Lavis |
| 视频video | |
| 概述 | From one author of the successful two-volume work on statistical mechanics by Lavis and Bell (Springer, 1999).Includes accounts of mean-field, exact, renormalization group and series methods for criti |
| 丛书名称 | Theoretical and Mathematical Physics |
| 图书封面 |  |
| 描述 | .Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models..Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution..Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations..In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of in |
| 出版日期 | Textbook 2015 |
| 关键词 | Catastrophe theory; Classical approximation method; Classical approximation methods; Dimer; Dimer model; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-017-9430-5 |
| isbn_softcover | 978-94-024-0504-0 |
| isbn_ebook | 978-94-017-9430-5Series ISSN 1864-5879 Series E-ISSN 1864-5887 |
| issn_series | 1864-5879 |
| copyright | Springer Science+Business Media Dordrecht 2015 |
发表于 2025-3-21 16:10:02
