On the critical behaviour of cellular automata models of nonequilibrium phase transitions
- 21 July 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (14) , 3353-3359
- https://doi.org/10.1088/0305-4470/23/14/031
Abstract
Two cellular automata models of nonequilibrium phase transitions with one adsorbing state are studied in one and two dimensions. New evidence is found against the conjecture according to which all the one-component models with a single adsorbing state belong to the universality class of Reggeon field theory or directed percolation.Keywords
This publication has 13 references indexed in Scilit:
- Universality and diffusion in nonequilibrium critical phenomenaPhysical Review B, 1989
- Nonequilibrium lattice models: Series analysis of steady statesJournal of Statistical Physics, 1989
- Cellular automata approach to non-equilibrium phase transitions in a surface reaction model: static and dynamic propertiesJournal of Physics A: General Physics, 1988
- Kinetic Phase Transitions in an Irreversible Surface-Reaction ModelPhysical Review Letters, 1986
- Phase transitions of cellular automataZeitschrift für Physik B Condensed Matter, 1985
- On phase transitions in Schlögl's second modelZeitschrift für Physik B Condensed Matter, 1982
- On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary stateZeitschrift für Physik B Condensed Matter, 1981
- Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviourAnnals of Physics, 1979
- Contact Interactions on a LatticeThe Annals of Probability, 1974
- Chemical reaction models for non-equilibrium phase transitionsThe European Physical Journal A, 1972