Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2011-05-22
International Journal of Modern Physics C (IJMPC), Volume: 22, Issue: 4(2011) pp. 419-439
Nonlinear Sciences
Cellular Automata and Lattice Gases
Scientific paper
10.1142/S0129183111016348
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.
Adamatzky Andrew
Hoeflich Alejandro F.
Martinez Genaro J.
Stephens Christopher R.
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