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

  • Book
  • © 1989

Overview

Authors:
  1. V. Privman
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  2. N. M. Švrakić
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Part of the book series: Lecture Notes in Physics (LNP, volume 338)

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About this book

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.

Keywords

Table of contents (6 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-2

  3. Directed walk models of polymer conformations

    Pages 3-31

  4. Line interfaces in two dimensions: Solid-on-solid models

    Pages 32-60

  5. Polymers at surfaces

    Pages 61-75

  6. Models of stacks and compact clusters

    Pages 76-115

  7. Summary

    Pages 116-117

  8. Back Matter

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