Cellular-automaton approach to a surface reaction
- 1 November 1991
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (10) , R6165-R6168
- https://doi.org/10.1103/physreva.44.r6165
Abstract
A cellular-automaton model for a surface reaction is introduced that describes the chemical reactions correctly. The phase-transition points and the order of the phase transitions agree well with the results of Ziff, Gulari, and Barshad via a Monte Carlo simulation [Phys. Rev. Lett. 56, 2553 (1986)]. The high performance of the cellular automaton leads to a more precise determination of the critical exponent β at the second-order phase transition (β=0.58), which thus appears to belong to the universality class of Reggeon field theory.Keywords
This publication has 15 references indexed in Scilit:
- The CO+O2 reaction on metal surfaces. Simulation and mean-field theory: The influence of diffusionThe Journal of Chemical Physics, 1990
- Critical exponents for an irreversible surface reaction modelPhysical Review A, 1990
- Critical phenomena in a nonequilibrium model of heterogeneous catalysisPhysical Review A, 1989
- Directed percolation in 2+1 dimensionsJournal of Physics A: General Physics, 1989
- Simulation of diffusion controlled reaction kinetics using cellular automataPhysics Letters A, 1989
- Nonequilibrium critical poisoning in a single-species modelPhysics Letters A, 1988
- 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
- Critical exponents for the Reggeon quantum spin modelPhysics Letters B, 1978
- Chemical reaction models for non-equilibrium phase transitionsThe European Physical Journal A, 1972