English

Osmotic Pressure of Confined Square Lattice Self-Avoiding Walks

Statistical Mechanics 2019-05-22 v3 Soft Condensed Matter

Abstract

Flory-Huggins theory is a mean field theory for modelling the free energy of dense polymer solutions and polymer melts. In this paper we use Flory-Huggins theory as a model of a dense two dimensional self-avoiding walk confined to a square in the square lattice. The theory describes the free energy of the walk well, and we estimate the Flory interaction parameter of the walk to be χsaw=0.32(1)\chi_{saw} = 0.32(1).

Keywords

Cite

@article{arxiv.1806.01746,
  title  = {Osmotic Pressure of Confined Square Lattice Self-Avoiding Walks},
  author = {F Gassoumov and EJ Janse van Rensburg},
  journal= {arXiv preprint arXiv:1806.01746},
  year   = {2019}
}