Topological Constraints at the Theta Point: Closed Loops at Two Loops
Statistical Mechanics
2010-12-17 v2 Soft Condensed Matter
High Energy Physics - Theory
Abstract
We map the problem of self-avoiding random walks in a Theta solvent with a chemical potential for writhe to the three-dimensional symmetric U(N)-Chern-Simons theory as N goes to 0. We find a new scaling regime of topologically constrained polymers, with critical exponents that depend on the chemical potential for writhe, which gives way to a fluctuation-induced first-order transition.
Cite
@article{arxiv.cond-mat/0305026,
title = {Topological Constraints at the Theta Point: Closed Loops at Two Loops},
author = {William Kung and Randall D. Kamien},
journal= {arXiv preprint arXiv:cond-mat/0305026},
year = {2010}
}
Comments
5 pages, RevTeX, typos