二维元胞自动机模型的精确解  

Exact Solution of two-Dimensional Cellular Automata Model

作　　者：王玉芬 汤建钢 唐娜娜 Wang Yufen;Tang Jiangang;Tang Nana(College of Mathematics and Statistic,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2022年第1期1-14,共14页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆维吾尔自治区高校科研计划自然科学重点项目(XJEDU2019I024).

摘　　要：求出了二维元胞自动机模型的精确解,二维元胞自动机模型正方形格子点阵在没有元胞间相互作用的动力下,1个格点在特定的元胞能量下,系统能对外提供的有用能量为f(T,0),格点系统在单位质量内的元胞的能量增多或减少所吸收或者释放的化学能DB(T,0)在临界点有对数发散的奇异性.The exact solution of the-dimensional cellular automata model is obtained.In the square lattice of the twodimensional cellular automata model,under the power of no interaction between cells,the useful energy that the system can provide to the outsides is f(T,0).The energy of the cells in the unit mass of the lattice system increases or decreasea,and the chemical energy absorbed or released DB(T,0)has the singularity of logarithmic divergence at the cricical point.

关 键 词：元胞自动机 自动机 精确解 埃尔米特矩阵 幺正矩阵 

分 类 号：TP301.1[自动化与计算机技术—计算机系统结构]