PMID: 15244668Jul 13, 2004Paper

Conformal field theory of the Flory model of polymer melting

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jesper Lykke Jacobsen, Jané Kondev

Abstract

We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter family of conformal field theories, which we characterize via its Coulomb-gas representation. One choice for two of the three parameters reproduces the critical line of the exactly solvable six-vertex model, while another corresponds to the Flory model of polymer melting. Exact central charge and critical exponents are calculated for polymer melting in two dimensions. Contrary to predictions from mean-field theory we show that polymer melting, as described by the Flory model, is continuous. We test our field theoretical results against numerical transfer matrix calculations.

References

Apr 1, 1995·Protein Science : a Publication of the Protein Society·K A DillH S Chan
Sep 1, 1995·Physical Review. B, Condensed Matter·J Kondev, C L Henley
Feb 17, 1986·Physical Review Letters·H W BlöteM P Nightingale
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Citations

May 19, 2007·The European Physical Journal. E, Soft Matter·A A MinakovC Schick
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anandamohan GhoshJesper L Jacobsen
Aug 8, 2016·Polymers·Jörg BaschnagelAlbert Johner
Apr 28, 2009·Physical Review Letters·Jesper Lykke Jacobsen, Fabien Alet
Jun 4, 2008·Physical Review Letters·Jesper Lykke Jacobsen
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Gherardi

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