Wang-Landau算法求解三维四态Potts模型的界面张力
Interface tension of the 3d 4-state Potts model using the Wang-Landau algorithm
摘要:
利用Wang-Landau算法研究了三维四态Potts模型的界面张力.界面张力由在一个方向上具有扭曲边界条件且在所有其他方向上具有周期性边界条件的配分函数与在所有方向上具有周期性边界条件的配分函数的比率给出。利用Wang-Landau算法,我们可以显式地计算两个配分函数,并获得所有温度下的结果。我们找到了完全润湿的可靠的数值证据。我们的算法进行了测试,通过计算在相变点的热力学量。
英文摘要:
We study the interface tension of the 4-state Potts model in three dimensions using the Wang- Landau algorithm. The interface tension is given by the ratio of the partition function with a twisted boundary condition in one direction and periodic boundary conditions in all other directions over the partition function with periodic boundary conditions in all directions. With the Wang-Landau algorithm we can explicitly calculate both partition functions and obtain the result for all temperatures. We find solid numerical evidence for perfect wetting. Our algorithm is tested by calculating thermodynamic quantities at the phase transition point.
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