摘要
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.
出处
《广西师范大学学报(自然科学版)》
CAS
1999年第1期7-13,共7页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金
广西自然科学基金
关键词
ISING模型
重整化群方法
HCP晶格
相变
立方晶体
square lattice
probabilistic cellular automata
Ising models
renormalization group method