Continuous melting of compact polymers.
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.
Jacobsen
Jesper Lykke
JL
LPTMS, Université Paris-Sud, Bâtiment 100, F-91405 Orsay, France.
Kondev
Jané
J
D004247:DNA / Q000737:chemistry; D019277:Entropy; D008051:Lipid Bilayers / Q000737:chemistry; D008956:Models, Chemical; D011108:Polymers / Q000737:chemistry*; D013499:Surface Properties
D008051:Lipid Bilayers; D011108:Polymers; D004247:DNA