Particle Structures in Elementary Cellular Automaton Rule 146
Paul-Jean Letourneau
Wolfram Research, Inc.
100 Trade Center Drive
Champaign, IL 61820, USA
paul-jean@wolfram.com
Abstract
Stochastic particle-like persistent structures are found in the class 3 elementary cellular automaton rule number 146. These particles arise as boundaries separating regions with black cells occupying sites at spacetime points (x, t) of constant parity x⊕t. The particles execute random walks and annihilate in pairs, with particle density decaying with time in a power-law fashion. It is shown that the evolution of rule 146 closely resembles that of the additive rule 90, with persistent localized structures.
