Phase transition of the discrete Laplacian roughening model was investigated on a triangular lattice of various sizes by using the Wang–Landau (WL) Monte Carlo simulation and finite-size scaling analysis of partition-function zeros. The density of states was calculated using the WL method, and the internal energy and specific heat were calculated as a function of temperature. A single transition was observed at T _c = 1.855(5) with a new universality class of the correlation exponent ν = 0.70(1) and the specific heat exponent α = 0.60(4). The results were confirmed by the finite size scaling analysis of the first zeros for the partition function. The critical exponents satisfy the scaling relation α = 2 − dν very well.

通过使用Wang-Landau（WL）蒙特卡罗模拟和分区函数零点的有限尺寸缩放分析，研究了离散Laplacian粗糙模型的相变在各种尺寸的三角形晶格上。使用WL方法计算状态密度，并根据温度计算内部能量和比热。在T _c = 1.855（5）处观察到一个单一跃迁，具有新的通用性类别，即相关指数ν = 0.70（1）和比热指数α = 0.60（4）。通过对分区函数的第一个零的有限大小比例缩放分析确认了结果。临界指数满足比例关系α = 2- dν 很好。