Universality class of a one-dimensional cellular automaton
- 1 March 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (6) , 3187-3189
- https://doi.org/10.1103/physreva.43.3187
Abstract
Recently, Bidaux, Boccara, and Chaté [Phys. Rev. A 39, 3094 (1989)], introduced a probabilistic cellular automaton whose one-dimensional version exhibits a continuous transition to an absorbing state. Steady-state simulations gave critical exponents different from those of directed percolation, a surprising result, as the universality class of directed percolation is known to be very robust. I have studied the nonequilibrium critical behavior of the one-dimensional model using time-dependent Monte Carlo simulations, and determined three dynamic critical exponents, all of which are in excellent agreement with directed percolation.Keywords
This publication has 18 references indexed in Scilit:
- Directed percolation in 2+1 dimensionsJournal of Physics A: General Physics, 1989
- Kinetic Phase Transitions in an Irreversible Surface-Reaction ModelPhysical Review Letters, 1986
- Renormalized field theory of dynamical percolationZeitschrift für Physik B Condensed Matter, 1985
- Interacting Particle SystemsPublished by Springer Nature ,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
- Directed percolation and Reggeon field theoryJournal of Physics A: General Physics, 1980
- Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviourAnnals of Physics, 1979
- Critical exponents for the Reggeon quantum spin modelPhysics Letters B, 1978
- Chemical reaction models for non-equilibrium phase transitionsThe European Physical Journal A, 1972