English

Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions

Statistical Mechanics 2007-05-23 v2 Soft Condensed Matter

Abstract

A surface model with skeletons is investigated by using the canonical Monte Carlo simulations. The skeleton is composed of linear chains, which are joined to each other at the rigid junctions. A one-dimensional bending energy is defined on the linear chains, and no two-dimensional curvature energy is assumed on the surface. The model undergoes a first-order transition between the smooth phase and the crumpled phase. We conclude that the first-order transition of the surface model with skeletons is independent of whether the junctions are elastic or rigid.

Keywords

Cite

@article{arxiv.cond-mat/0607508,
  title  = {Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions},
  author = {T. Endo and M. Egashira and S. Obata and H. Koibuchi},
  journal= {arXiv preprint arXiv:cond-mat/0607508},
  year   = {2007}
}

Comments

17 pages with 9 figures