First-order phase transition of fixed connectivity surfaces
Abstract
We report a numerical evidence of the discontinuous transition of a tethered membrane model which is defined within a framework of the membrane elasticity of Helfrich. Two kinds of phantom tethered membrane models are studied via the canonical Monte Carlo simulation on triangulated fixed connectivity surfaces of spherical topology. A surface model is defined by the Gaussian term and the bending energy term, and the other, which is tensionless, is defined by the bending energy term and a hard wall potential. The bending energy is defined by using the normal vector at each vertex. Both of the models undergo the first-order phase transition characterized by a gap of the bending energy. The phase structure of the models depends on the choice of discrete bending energy.
Cite
@article{arxiv.cond-mat/0411209,
title = {First-order phase transition of fixed connectivity surfaces},
author = {Hiroshi Koibuchi and Nobuyuki Kusano and Atsusi Nidaira and Komei Suzuki and Mitsuru Yamada},
journal= {arXiv preprint arXiv:cond-mat/0411209},
year = {2009}
}
Comments
6 pages with 7 figures