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Titlebook: Equilibrium Statistical Mechanics of Lattice Models; David A. Lavis Textbook 2015 Springer Science+Business Media Dordrecht 2015 Catastrop

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發(fā)表于 2025-3-21 16:10:02 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Equilibrium Statistical Mechanics of Lattice Models
編輯David A. Lavis
視頻videohttp://file.papertrans.cn/314/313482/313482.mp4
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
叢書(shū)名稱(chēng)Theoretical and Mathematical Physics
圖書(shū)封面Titlebook: Equilibrium Statistical Mechanics of Lattice Models;  David A. Lavis Textbook 2015 Springer Science+Business Media Dordrecht 2015 Catastrop
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
關(guān)鍵詞Catastrophe theory; Classical approximation method; Classical approximation methods; Dimer; Dimer model;
版次1
doihttps://doi.org/10.1007/978-94-017-9430-5
isbn_softcover978-94-024-0504-0
isbn_ebook978-94-017-9430-5Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer Science+Business Media Dordrecht 2015
The information of publication is updating

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Theoretical and Mathematical Physicshttp://image.papertrans.cn/e/image/313482.jpg
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Mihaly Csikszentmihalyi,Kevin Rathunde bounded by a simple closed curve ., as shown in Fig.?.. Each lattice edge is the boundary between a shaded and an unshaded face these being decorated with one site of the dual lattices . and ., respectively.
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https://doi.org/10.1007/978-3-319-33642-8One of the main investigative interests of statistical mechanics is in the possibility of phase transitions.
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https://doi.org/10.1007/978-981-13-8379-3We consider a system in the coupling-density representation in which, as in Sect.?., there are no independent densities ..
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Intelligent Systems Reference LibraryThe zero-field Ising Hamiltonian
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Overview of FDG PET in Oncology in Japan,As we saw in the application of mean-field theory to the Ising model in Sect.?., the assumption that the spins on the lattice sites are uncorrelated is equivalent to replacing the interactions on a single spin with a .? proportional to the magnetization.
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