English

Continuous melting of compact polymers

Other Condensed Matter 2007-05-23 v1 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0401504,
  title  = {Continuous melting of compact polymers},
  author = {Jesper Lykke Jacobsen and Jane' Kondev},
  journal= {arXiv preprint arXiv:cond-mat/0401504},
  year   = {2007}
}

Comments

5 pages, 1 figure

R2 v1 2026-07-22T10:59:08.125Z