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

William Kung·Randall D. Kamien
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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.

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BibTeXRIS

William Kung, Randall D. Kamien. 2003-05-09. Topological Constraints at the Theta Point: Closed Loops at Two Loops. https://doi.org/10.1209/epl%2Fi2003-00177-6

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