English

Shape anisotropy of polymers in disordered environment

Soft Condensed Matter 2010-11-22 v2 Disordered Systems and Neural Networks

Abstract

We study the influence of structural obstacles in a disordered environment on the size and shape characteristics of long flexible polymer macromolecules. We use the model of self-avoiding random walks on diluted regular lattices at the percolation threshold in space dimensions d=2, 3. Applying the Pruned-Enriched Rosenbluth Method (PERM), we numerically estimate rotationally invariant universal quantities such as the averaged asphericity A_d and prolateness S of polymer chain configurations. Our results quantitatively reveal the extent of anisotropy of macromolecules due to the presence of structural defects.

Keywords

Cite

@article{arxiv.1009.4358,
  title  = {Shape anisotropy of polymers in disordered environment},
  author = {Viktoria Blavatska and Wolfhard Janke},
  journal= {arXiv preprint arXiv:1009.4358},
  year   = {2010}
}

Comments

8 pages

R2 v1 2026-06-21T16:17:34.566Z