三维随机点阵三态矢量Potts模型Monte Carlo模拟

在三维随机格点阵上对三态矢量Potts模型进行了Monte Carlo数值模拟,构造了N×N×N(N=8,10,12)三种不同大小点阵,分别计算了该自旋系统的能量密度、磁化强度、比热和磁化率等的温度曲线。结果表明该自旋系统在β₆≈0.16处存在着能表征一阶Z(3)对称破缺相变的能量热滞图和比热陡峰,磁化强度的跃变规律亦支持该结论,从而显示出该模型在随机点阵上的相变行为与正方点阵的已有结果的相似性。

MONTE CARLO SIMULATION OF THE THREE-STATE VECTOR POTTS MODEL ON A THREE-DIMENSIONAL RANDOM LATTICE

We have performed a numerical simulation of the three-state vector Potts model on a three-dimensional random lattice. The averages of energy density, magnetization, specific heat and suscetibility of the system in the N× N× N (N = 8, 10, 12) lattices were calculated. These results show that this spin system exhibits an energetie thermal hyoteresis diagram and a sharp peak of specific, which could show that the system experierces phase transition with 1st ordes Z(3) symmetry breaking, this conclusion is supported by the law of the jump of magnetization. These results obtained on the random lattice were consistent with those obtained on the three-dimensional cubic lattices.