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

Nenad M. Svrakic

ISBN 10: 3662137178 / ISBN 13: 9783662137178

Editore: Springer Berlin Heidelberg, 2014

Riguardo questo articolo

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.

Codice articolo 9783662137178

Dati bibliografici

• Titolo: Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties
• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 3662137178
• ISBN 13: 9783662137178
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 8 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 8 millimetri di profondità
• Peso: 242 grammi

Descrizione articolo

Riassunto

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.

Contenuti

Directed walk models of polymer conformations.- Line interfaces in two dimensions: Solid-on-solid models.- Polymers at surfaces.- Models of stacks and compact clusters.- Summary.