# Cellular automata

## Cellular automata are discrete rule-based dynamical
systems that have been used to describe many non-linear
phenomena ranging from pattern formation to chaos.

A particularly interesting automaton is Q2R which is defined
on a square lattice and yields an energy conserving dynamics
for the Ising model. With Uriel Costa we studied the energy
transport properties of Q2R by placing the automaton in a
gradient as
published in J. Stat. Phys., Vol.47, p.597-602 (1987).

It is often of interest to mix randomly two or more cellular
automata. With Luciano da Silva we considered such a mixture
of two rules having different behaviour and studied the
mixing ratio at which appears a phase transition as described in a
paper published in Complex Systems, Vol.2, 29-37 (1988).

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Concerning the images below see the recent
proceedings for Medyfinol in La Serena made
with Jason Gallas.