Volume 64, Number 3, November 2003
|Page(s)||323 - 329|
|Section||Atomic and molecular physics|
|Published online||01 November 2003|
Topological constraints at the Theta-point: Closed loops at two loops
Department of Physics and Astronomy, University of Pennsylvania Philadelphia, PA 19104-6396, USA
Accepted: 29 August 2003
We map the problem of self-avoiding random walks in a Θ solvent with a chemical potential for writhe to the three-dimensional symmetric -Chern-Simons theory as . 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.
PACS: 36.20.-r – Macromolecules and polymer molecules / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 11.15.-q – Gauge field theories
© EDP Sciences, 2003
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