特殊BCC Ising模型相变现象的重整化群处理

RENORMALIZATION GROUP METHOD ON A SPECIAL BCC ISING MODEL TRANSITION

用二维正方格子概率性细胞自动机的演化动力学描述一类特殊的体心立方晶体Ｉｓｉｎｇ模型，通过重整化群处理，得到该模型的相变点发生在曲线ｅｘｐ（－８Ｊ）＝ｃｏｓｈ（４Ｄ）上，数值结果为Ｄｃ＝０．２１６８０９，Ｊｃ＝－０．０４２０７８，该点实际上是一个Ｌｉｆｓｈｉｔｚ三相点．

The evolution dynamics of 2_D square lattice probability cellular automata is mapped onto a special 3_D Ising Spin Body_Central _Cubic Lattice model. By means of real space renormalization group method, it is found that the phase transition point in this special model is on the disorder line e -8J =cosh(4 D ) and it is also shown that the transition point ( J C,D C), where J C=-0.042 078,D C =0.216 809,is actually a Lifshitz tricritical point. Computer experiments support these results qualitatively.