Cellular automaton supercolliders
Abstract
Gliders in one-dimensional cellular automata are compact groups of non-quiescent and non-ether patterns (ether represents a periodic background) translating along automaton lattice. They are cellular-automaton analogous of localizations or quasi-local collective excitations travelling in a spatially extended non-linear medium. They can be considered as binary strings or symbols travelling along a one-dimensional ring, interacting with each other and changing their states, or symbolic values, as a result of interactions. We analyse what types of interaction occur between gliders travelling on a cellular automaton `cyclotron' and build a catalog of the most common reactions. We demonstrate that collisions between gliders emulate the basic types of interaction that occur between localizations in non-linear media: fusion, elastic collision, and soliton-like collision. Computational outcomes of a swarm of gliders circling on a one-dimensional torus are analysed via implementation of cyclic tag systems.
Keywords
Cite
@article{arxiv.1105.4332,
title = {Cellular automaton supercolliders},
author = {Genaro J. Martinez and Andrew Adamatzky and Christopher R. Stephens and Alejandro F. Hoeflich},
journal= {arXiv preprint arXiv:1105.4332},
year = {2011}
}