用一维PCA描述二维Ising模型的探讨  

AN ELEMENTARY INQUIRING INTO 2 D ISING MODEL WITH 1 D PCA

作　　者：吕晓阳[1,2] 孔令江[1,2] 刘慕仁 

机构地区：[1]华南师范大学行政学院 [2]广西师范大学物理与电子科学系

出　　处：《广西师范大学学报（自然科学版）》1996年第2期12-18,共7页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金

摘　　要：将一维ＣＡ的动态演化时空图与二维Ｉｓｉｎｇ自旋位形等同起来，用重整化群方法计算得到各向异性三角晶格Ｉｓｉｎｇ模型的临界点发生在无序线ｅ－２Ｊ＝ｃｏｓｈ（２Ｄ）上，这与平衡统计力学计算结果一致；同时求得了相关指数的初步结果。The evolution dynamics of 1 D probability cellular automata is mapped onto a two dimension Ising Spin configeration. By means of real space renormalization group method,it found that the phase transition point in the inhomogeneous triangle Ising lattice model is on the disorder line e -2J =cosh( 2D) ,and that is agreement with classical equilibrium statistics. Some relevant indexes are preliminarily obtained. Computer experiments support these results qualitatively.

关 键 词：PCA 重整化群 临界点 伊率模型 

分 类 号：O414.2[理学—理论物理]