Interacting particle system

An interacting particle system is a stochastic process on some cartesian product of discrete spaces corresponding to elementaray stochastic processes whose time evolution takes into account the evolution of some of the others elementray stochastic processes according to some interaction. Usually, time is continuous and the process is a Markov one. For discrete-time it is related to Markov chains and Probabilistic Cellular Automata.

Main examples are the voter model, the contact process (mathematics.