| Issue |
Europhys. Lett.
Volume 64, Number 3, November 2003
|
|
|---|---|---|
| Page(s) | 323 - 329 | |
| Section | Atomic and molecular physics | |
| DOI | https://doi.org/10.1209/epl/i2003-00177-6 | |
| 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
Received:
2
May
2003
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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