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Phase transition of Laplacian roughening model on a triangular lattice using Wang–Landau Monte Carlo simulation and Fisher zeros
Journal of Statistical Mechanics: Theory and Experiment ( IF 2.2 ) Pub Date : 2021-02-25 , DOI: 10.1088/1742-5468/abdd1a
Jin Min Kim

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 − very well.



中文翻译:

使用Wang-Landau Monte Carlo模拟和Fisher零点的拉普拉斯粗糙模型在三角形晶格上的相变

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- 很好。

更新日期:2021-02-25
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