Self-Avoiding Walks with Writhe
Statistical Mechanics
2008-02-03 v2 Soft Condensed Matter
High Energy Physics - Theory
Abstract
We map self-avoiding random walks with a chemical potential for writhe to the three-dimensional complex O(N) Chern-Simons theory as N -> 0. We argue that at the Wilson-Fisher fixed point which characterizes normal self-avoiding walks (with radius of gyration exponent nu = 0.588) a small chemical potential for writhe is irrelevant and the Chern-Simons field does not modify the monomer- monomer correlation function. For a large chemical potential the polymer collapses.
Cite
@article{arxiv.cond-mat/9705066,
title = {Self-Avoiding Walks with Writhe},
author = {J. David Moroz and Randall D. Kamien},
journal= {arXiv preprint arXiv:cond-mat/9705066},
year = {2008}
}
Comments
20 pages, LaTex. Requires epsf and psfig. One included eps file. Revision adds a reference