Topological Constraints at the Theta Point: Closed Loops at Two Loops

Details Topological Constraints at the Theta Point: Closed Loops at Two Loops Topological Constraints at the Theta Point: Closed Loops at Two Loops

2003-05-01

arxiv.org/abs/cond-mat/0305026v2

Europhys.Lett.64:323,2003

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTeX, typos

Scientific paper

10.1209/epl/i2003-00177-6

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.

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