PMID: 15245269Jul 13, 2004Paper

Continuous melting of compact polymers

Physical Review Letters
Jesper Lykke Jacobsen, Jané Kondev

Abstract

The competition between chain entropy and bending rigidity in compact polymers can be addressed within a lattice model introduced by Flory in 1956 [Proc. R. Soc. London A 234, 60 (1956)]]. It exhibits a transition between an entropy dominated disordered phase and an energetically favored crystalline phase. The nature of this order-disorder transition has been debated ever since the introduction of the model. Here we present exact results for the Flory model in two dimensions relevant for polymers on surfaces, such as DNA adsorbed on a lipid bilayer. We predict a continuous melting transition and compute exact values of critical exponents at the transition point.

References

Mar 1, 1978·Biopolymers·S C Riemer, V A Bloomfield
Nov 5, 1997·Cell·M E CerritelliA C Steven

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Citations

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
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Suncica Elezović-HadzićSlobodan Maletić

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