Self-avoiding walks subject to a force

We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the free energy is identical when the force is applied at the last vertex or at the top (confining) plane. We discuss the re...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 49; no. 11; pp. 11 - 16
Main Authors Rensburg, E J Janse van, Whittington, S G
Format Journal Article
LanguageEnglish
Published IOP Publishing 18.03.2016
Subjects
adsorbing self-avoiding walk
Confining
Convergence
Free energy
Mathematical models
phase diagram
Planes
Theorems
Online AccessGet full text

Cover

More Information
Summary:We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the free energy is identical when the force is applied at the last vertex or at the top (confining) plane. We discuss the relevance of this result to numerical results and to a recent result about convergence rates when the walk is being pushed towards the surface.
Bibliography:JPhysA-104758.R1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/49/11/11LT01