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Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties - Couverture rigide

Privman, Vladimir; Svrakic, Nenad M.

 
9783540514299: Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties
Couverture rigide
ISBN 10 : 3540514295 ISBN 13 : 9783540514299
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989

Synopsis

This monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field.

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Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
1989
Langue
anglais
ISBN 10 
3540514295
ISBN 13 
9783540514299
Reliure
Relié
Nombre de pages
122
Coordonnées du fabricant
non disponible
Personne responsable
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