Complex Systems

Persistent Structures in Elementary Cellular Automaton Rule 146 Download PDF

Paul-Jean Letourneau
Wolfram Research, Inc.
100 Trade Center Drive
Champaign, IL 61820-7237
USA

Abstract

Two types of spacetime structures found in the evolution of rule 146 are presented: very large white triangles, called monoliths, and persistent structures formed by sequential white triangles of even width. The monoliths are discussed in terms of large fluctuations away from equilibrium in a many-body system. The persistent structures are derived by highlighting the nonadditive portions of the rule 146 evolution, and some of their statistical properties are presented. The use of these structures for directing information flow in this class 3 rule are discussed.