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Titlebook: Statistical Mechanics of Lattice Systems; Volume 1: Closed-For David A. Lavis,George M. Bell Textbook 1999Latest edition Springer-Verlag Be

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书目名称Statistical Mechanics of Lattice Systems
副标题Volume 1: Closed-For
编辑David A. Lavis,George M. Bell
视频videohttp://file.papertrans.cn/877/876494/876494.mp4
概述The first volume is clearly a textbook, the second one contains more advanced material as well..Both volumes are sufficiently self-contained though related, of course..Includes supplementary material:
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Statistical Mechanics of Lattice Systems; Volume 1: Closed-For David A. Lavis,George M. Bell Textbook 1999Latest edition Springer-Verlag Be
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 multi particle 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 2) are princi­ pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this 1 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 include some of our discussion of exact results in this volume and some in Volume 2. The other main area of discussion in this volume is mean-field theory leading to closed­ form approximations. Although this is known not to give reliable results c
出版日期Textbook 1999Latest edition
关键词Helium-Atom-Streuung; Renormalization group; STEM; cluster variation; mean-field approximation; phase tra
版次2
doihttps://doi.org/10.1007/978-3-662-03843-7
isbn_softcover978-3-642-08411-9
isbn_ebook978-3-662-03843-7Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1999
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https://doi.org/10.1007/978-3-662-03843-7Helium-Atom-Streuung; Renormalization group; STEM; cluster variation; mean-field approximation; phase tra
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Statistical Mechanics and the One-Dimensional Ising Model,e theory by treating a one-dimensional Ising ferromagnet and finish with an application of the latter to a biophysical system. There are many texts on statistical mechanics which develop the basic theory; a brief selection is Huang (1963), Ma (1985), Chandler (1987), and Thompson (1988).
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Lattice Gases,nts .., .., ..., .. in .. The configurational energy is the sum of ½.(. − 1) terms, each representing the interaction energy of a pair of centres and dependent on the distance between them. Thus, the configurational energy is ..
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Introduction to Thermodynamics and Phase Transitions,We assume that the reader has some previous knowledge of thermodynamics.. Our intention here is to revise briefly the essential part of the theory, to introduce critical phenomena and, at the end of this chapter, to put the theory into a suitably generalized form for later use.
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Solid Mixtures and the Dilute Ising Model,We consider an isotropic solid mixture of .. atoms of component A and .. of component B in volume .. This is modelled by a regular lattice of . sites, the volume υ. per lattice site being as usual taken as constant and used as the standard volume in (1.54). Each site is occupied by an atom so that..
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Cluster Variation Methods,Kikuchi (1951) carried the process of approximation to a higher level by minimizing the free energy with respect to the occupation probabilities of subgroups of sites, including nearest-neighbour pairs, as well as those of the main group and this procedure was placed on a systematic basis by Hijmans
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