Crumpling transition of the discrete planar folding in the negative-bending-rigidity regime
Statistical Mechanics
2015-05-19 v1
Abstract
The folding of the triangular lattice embedded in two dimensions (discrete planar folding) is investigated numerically. As the bending rigidity K varies, the planar folding exhibits a series of crumpling transitions at K \approx -0.3 and K \approx 0.1. By means of the transfer-matrix method for the system sizes L \le 14, we analyze the singularity of the transition at K \approx -0.3. As a result, we estimate the transition point and the latent heat as K=-0.270(2) and Q=0.043(10), respectively. This result suggests that the singularity belongs to a weak-first-order transition.
Keywords
Cite
@article{arxiv.1007.2013,
title = {Crumpling transition of the discrete planar folding in the negative-bending-rigidity regime},
author = {Yoshihiro Nishiyama},
journal= {arXiv preprint arXiv:1007.2013},
year = {2015}
}