Convergence to equilibrium in a class of interacting particle systems evolving in discrete time

Details Convergence to equilibrium in a class of interacting particle systems evolving in discrete time Convergence to equilibrium in a class of interacting particle systems evolving in discrete time

2001-01-20

arxiv.org/abs/nlin/0101037v1

Phys. Rev. E 64, 016117 (2001)

Nonlinear Sciences

Cellular Automata and Lattice Gases

15 pages, 6 figures

Scientific paper

10.1103/PhysRevE.64.016117

We conjecture that for a wide class of interacting particle systems evolving in discrete time, namely conservative cellular automata with piecewise linear flow diagram, 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 direction annihilating upon collision.

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