Directed models of polymers, interfaces, and clusters : scaling and finite-size properties /

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 case...

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Bibliographic Details
Author / Creator:Privman, V. (Vladimir), 1955-
Imprint:Berlin ; New York : Springer-Verlag, ©1989.
Description:1 online resource (vi, 120 pages) : illustrations.
Language:English
Series:Lecture notes in physics, 1616-6361 ; 338
Lecture notes in physics ; 338.
Subject:Statistical mechanics -- Mathematical models.
Anisotropy -- Mathematical models.
Polymerization -- Mathematical models.
Surfaces (Physics) -- Mathematical models.
Surface chemistry -- Mathematical models.
Anisotropy -- Mathematical models.
Polymerization -- Mathematical models.
Statistical mechanics -- Mathematical models.
Surface chemistry -- Mathematical models.
Surfaces (Physics) -- Mathematical models.
Mécanique statistique -- Modèles mathématiques.
Surfaces (physique) -- Modèles mathématiques.
Anisotropie -- Modèles mathématiques.
Chimie des surfaces -- Modèles mathématiques.
Polymérisation -- Modèles mathématiques.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11067238
Hidden Bibliographic Details
Other authors / contributors:Švrakić, N. M. (Nenad M.), 1952-
ISBN:9783540481201
3540481206
0387514295
9780387514291
Notes:Includes bibliographical references (pages 74-75).
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
Summary: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.
Other form:Print version:Privman, V. (Vladimir), 1955- Directed models of polymers, interfaces, and clusters. Berlin ; New York : Springer-Verlag, ©1989 0387514295