English

Density functional methods for polymers: a coil-globule transition case study

Soft Condensed Matter 2011-11-10 v3 Statistical Mechanics

Abstract

We consider a free energy functional on the monomer density function that is suitable for the study of coil-globule transition. We demonstrate, with explicitly stated assumptions, why the entropic contribution is in the form of the Kullback-Leibler distance, and that the energy contribution is given by two-body and three-body terms. We then solve for the free energy analytically on a set of trial density functions, and reproduce de Gennes' classical theory on polymer coil-globule transition. We then discuss how our formalism can be applied to study polymer dynamics from the perspective of dynamical density function theory.

Keywords

Cite

@article{arxiv.0801.1989,
  title  = {Density functional methods for polymers: a coil-globule transition case study},
  author = {Chiu Fan Lee},
  journal= {arXiv preprint arXiv:0801.1989},
  year   = {2011}
}
R2 v1 2026-06-21T10:02:30.537Z