Convergence to equilibrium in a class of interacting particle systems evolving in discrete time
Henryk Fukś, Nino Boccara · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2001
We conjecture that for a wide class of interacting particle systems evolving in discrete time, namely, conservative cellular automata with piecewise linear flow diagrams, relaxation to the limit set follows the same power law at critical points. We further describe the structure of the limit sets of such systems as unions of shifts of finite type. Relaxation to the equilibrium resembles ballistic annihilation, with "defects" propagating in opposite directions annihilating upon collision.