#28 in Mathematical physics books
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Reddit mentions of Cellular Automata Mod Phys Systems (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)
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Not my sub-field, but I'll try.
Cellular automaton can be used to model extremely complex systems which have simple interaction rules. Fluid dynamics is one thing that comes to mind. Particles have extremely simple rules for interacting: bounce around.
However, I can't find much post-80s. Probably because methods for numerically solving equations, massive parallelization, and CPU speed in general took off in the 90s.
You might have a look at:
http://www.amazon.com/Cellular-Automata-Modeling-Collection-Alea-Saclay/dp/0521673453
For some ideas. But please, check libraries before you buy a book like this.