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(特价书)统计物理学中的定标和重整化(英文影印版)

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最低价：￥19.50

定价：￥39.00

作者：John Cardy 著

出版社：世界图书出版公司

出版时间：1998 年8月

I S B N：750623822

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统计物理学中的定标和重整化(英文影印版)

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书籍
物理书籍
　　this book provides an introduction to the concepts which underlie the modem understanding of the behaviour of complicated physical systems which exhibit the property of scale invarience or self-similarity. this is most clearly illustrated in materials, such as magnets or fluids, in the vicinity of a second order phase transition.the theoretical framework for understanding these phenomena,known as the renormalization group,first arose in the late 1960s and has evolved into a common language used by workers in such diverse fields as particle physics, cosmology, neural networks and biophysics, as well as the more conventional aspects of condensed matter physics. .
　　 beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. following chapters cover phase diagrams, fixed points, cross-over behaviour, finite-size scaling,perturbative renormalization methode,low-dimensional systems,surface critical behaviour, random systems, percolation,polymer statistics, crital dynamics and conformal symmetry. the book closes with an appendix on gaussian integration,a selected bibliography, and a detailed index. many problems are included. ..
　　the emphasis throughout is on providing an elementary and intuitive approach. in particular, the perturbative method introduced leads, among other ap, plications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lower order) reduce to simple counting, avoiding the need for feynman diagrams. ...

作者简介

preface.
1 phase transitions in simple systems
1.1 phase diagrams
1.2 simple models
exercises
2 mean field theory
2.1 the mean field free energy
2.2 critical exponents
2.3 mean field theory for the correlation function
2.4 corrections to mean field theory
exercises
3 the renormalization group idea
3.1 block spin transformations
3.2 one-dimensional ising model
3.3 general theory
3.4 scaling behaviour of the free energy
3.5 critical exponents
3.6 irrelevant eigenvalues
3.7 scaling for the correlation functions
3.8 scaling operators and scaling dimensions

.3.9 critical amplitudes
exercises
4 phase diagrams and fixed points
4.1 ising model with vacancies
4.2 cross-over behaviour
4.3 cross-over to long range behaviour
4.4 finite-size scaling
4.5 quantum critical behaviour
5 the perturbative renormalization group
5.1 the operator product expansion
5.2 the perturbative renormalization group
5.3 the ising model near four dimensions
5.4 the gaussian fixed point
5.5 the wilson-fisher fixed point
5.6 logarithmic corrections in d= 4
5.7 the o(n) model near four dimensions
5.8 cubic symmetry breaking
exercises
6 low dimensional systems
6.1 the lower critical dimension
6.2 the two-dimensional xy model
6.3 the solid-on-solid model..
6.4 renormalization group analysis
6.5 the o(n) model in 2 + c dimensions
exercises
7 surface critical behaviour
7.1 mean field theory
7.2 the extraordinary and special transitions
7.3 renormalization group approach
exercises
8 random systems
8.1 quenched and annealed disorder
8.2 the harris criterion
8.3 perturbative approach to the random fixed point
8.4 percolation
8.5 random fields
exercises
9 polymer statistics
9.1 random walk model
9.2 the edwards model and the flory formula
9.3 mapping to the o(n) model
9.4 finite concentration
9.5 other applications
exercises
10 critical dynamics
10.1 continuum models
10.2 discrete models
10.3 dynamic scaling
10.4 response functional formalism
10.5 other dynamic universality classes
10.6 directed percolation
exercises
11 conformal symmetry
11.1 conformal transformations
11.2 simple consequences of conformal symmetry
11.3 the stress tensor
11.4 further developments
11.5 the c-theorem
exercises
appendix: gaussian integration
selected bibliography
index...