Crumpling transition of the discrete planar folding in the negative-bending-rigidity regime.
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 ≈ -0.3 and K ≈ 0.1. By means of the transfer-matrix method for the system sizes L ≤ 14, we analyze the singularity of the transition at K ≈ -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.
Nishiyama
Yoshihiro
Y
Department of Physics, Faculty of Science, Okayama University, Okayama 700-8530, Japan.