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

Nenad M. Svrakic

ISBN 10: 3662137178 / ISBN 13: 9783662137178

Published by Springer Berlin Heidelberg, 2014

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783662137178

Bibliographic Details

• Title: Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2014
• Language: English
• ISBN 10: 3662137178
• ISBN 13: 9783662137178
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 8D millimeters 244 millimeters width by 170 millimeters height by 8 millimeters depth
• Weight: 242 grams

About this title

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.