Continuous melting of compact polymers

Details Continuous melting of compact polymers Continuous melting of compact polymers

2004-01-26

arxiv.org/abs/cond-mat/0401504v1

Physical Review Letters 92 (2004) 210601

Physics

Condensed Matter

Other Condensed Matter

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.92.210601

The competition between chain entropy and bending rigidity in compact polymers can be addressed within a lattice model introduced by P.J. Flory in 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.

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