PERIODIC AND QUASIPERIODIC TIME-DEPENDENT BEHAVIOR IN COLLECTIVE ORDERED PHASES

作     者：JASON A.C. GALLAS ROCH BOURBONNAIS HANS J. HERRMANN 

作者机构：Höchstleistungsrechenzentrum (HLRZ) KFA 5170 Jülich Germany Laboratório de Óptica Quântica da UFSC 88049 Fhrianópolis Brazil Thinking Machines Corporation 245 First Street Cambridge MA 02142–1214 USA 

出 版 物：《International Journal of Modern Physics C》 

年 卷 期：1992年第3卷第2期

页      面：347-365页

学科分类：07[理学] 0702[理学-物理学] 

主　　题：Cellular Automata Computer Algorithms Large-Scale Simulations 

摘      要：We investigate numerically totalistic cellular automata rules in four and five dimensions that have been recently proposed by Chaté and Manneville and that show periodic or quasiperiodic time sequences in the magnetization. We show how to implement such rules fast on a Connection Machine. We confirm the proposed behavior by analyzing the time and size dependence of the distance from the attractor. Also the dependence of the initial configuration, the behavior of very small systems and mean-field calculations are presented.