1.

Record Nr.

UNISA996466805403316

Autore

Privman Vladimir

Titolo

Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties [[electronic resource] /] / by Vladimir Privman, Nenad M. Svrakic

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989

ISBN

3-540-48120-6

Edizione

[1st ed. 1989.]

Descrizione fisica

1 online resource (VI, 122 p. 1 illus.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 338

Disciplina

541

Soggetti

Physical chemistry

Thermodynamics

Statistical physics

Dynamical systems

Atoms

Physics

Polymers  

Physical Chemistry

Complex Systems

Atomic, Molecular, Optical and Plasma Physics

Polymer Sciences

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/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.