English

Discrete Folding

Statistical Mechanics 2008-02-03 v1 High Energy Physics - Theory

Abstract

Models of folding of a triangular lattice embedded in a discrete space are studied as simple models of the crumpling transition of fixed-connectivity membranes. Both the case of planar folding and three-dimensional folding on a face-centered-cubic lattice are treated. The 3d-folding problem corresponds to a 96-vertex model and exhibits a first-order folding transition from a crumpled phase to a completely flat phase as the bending rigidity increases.

Keywords

Cite

@article{arxiv.cond-mat/9610215,
  title  = {Discrete Folding},
  author = {Mark Bowick and Philippe Di Francesco and Olivier Golinelli and Emmanuel Guitter},
  journal= {arXiv preprint arXiv:cond-mat/9610215},
  year   = {2008}
}

Comments

LaTeX, 13 pages, 11 eps/ps figures: To appear in the Proceedings of the 4th Chia Meeting on "Condensed Matter and High-Energy Physics" (World Scientific, Singapore)