Potts模型相变的解析研究

The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis

本文应用一种新的解析方法——等效平均场广义累积展开法研究了立方点阵和三角点阵上的Z(N)Potts模型,作为例子我们对Z(3),Z(4),Z(5)和Z(6)Potts模型进行了精确到广义累积展开第三级修正的计算,所得临界点随修正级别的升高而逐级逼近已有的精确解。

We study the phase transition in Z(N) Pots spin model by an analytical approach—the generalized cumulant expansion with mean field approximation. As a test, we perform the expansion to the third order correction for Z(3), Z(4), Z(5) and Z(6) cases. The critical points turn out to be closer to the exact values when higher order corrections are taken into account.