负弯曲刚度区离散平面褶皱的皱曲转变
Crumpling transition of the discrete planar folding in the negative-bending-rigidity regime
摘要：
数值研究了二维三角晶格的折叠（离散平面折叠）。随着弯曲刚度K的变化，平面折叠在K \approx -0.3和K \approx 0.1处出现一系列的皱曲转变。本文用传递矩阵方法分析了当系统尺寸L为\le 14时，系统在K \approx-0.3处的奇异性。因此，我们估计转变点和潜热分别为K=-0.270（2）和Q=0.043（10）。这一结果表明，奇异性属于一个弱的一级转变。
英文摘要：
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.
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