Bringing together several fields of research which have used the renormalization group method, this book acts as an introduction to more specialized monographs. Starting with fractals, the concepts of self-similarity, scaling and homogeneous functions are introduced. The latter half of the book is devoted to the application of RG methods to critical phenomena, beginning with the purely geometric problem of percolation and then moving on to the model. There are also chapters devoted to mean-field theory and the n-vector model, which lays the ground work for the sigma-expansion and 1/n expansions.
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The renormalization group (RG) method has found applications in many areas of physics. The authors present simple RG treatments of such diverse problems as random walks, percolation, chaos and critical phenomena. Detailed introductory materials are presented in each area which makes it reasonably self-contained. The concepts of self-similarity and scale invariance are a common thread tying these problems together. Emphasis is placed on intuitive real-space RG calculations rather than formalism. The momentum-space RG is introduced and the 1/n and expansions are discussed. A brief explanation of the field-theoretic approach to the RG serves as an introduction to more advanced techniques.
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Descripción Wiley-Interscience, 1991. Estado de conservación: New. 409 pp., HARDCOVER, NEW!!. Nº de ref. de la librería ZB1064456
Descripción Wiley-Interscience, 1991. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M047160013X
Descripción Wiley-Interscience, 1991. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P11047160013X