scholarly journals A non-ergodic probabilistic cellular automaton with a unique invariant measure

2011 ◽  
Vol 121 (11) ◽  
pp. 2474-2487 ◽  
Author(s):  
Philippe Chassaing ◽  
Jean Mairesse
Keyword(s):  
Invariant Measure ◽  
Cellular Automaton ◽  
Probabilistic Cellular Automaton ◽  
Unique Invariant Measure

A Probabilistic Cellular Automaton for Evolution

1995 ◽  
Vol 5 (9) ◽  
pp. 1129-1134 ◽  
Author(s):  
Nikolaus Rajewsky ◽  
Michael Schreckenberg
Keyword(s):  
Cellular Automaton ◽  
Probabilistic Cellular Automaton

Mapping the rule table of a 2-D probabilistic cellular automaton to the chemical physics of etching and deposition

1999 ◽  
Vol 290 (1-2) ◽  
pp. 216-229 ◽  
Author(s):  
James A. Gurney ◽  
Edward A. Rietman ◽  
Matthew A. Marcus ◽  
Mark P. Andrews
Keyword(s):  
Cellular Automaton ◽  
Chemical Physics ◽  
Probabilistic Cellular Automaton

Short Time Dynamics of an Irreversible Probabilistic Cellular Automaton

1998 ◽  
Vol 12 (21) ◽  
pp. 873-879 ◽  
Author(s):  
T. Tomé ◽  
J. R. Drugowich de Fel Icio
Keyword(s):  
Ising Model ◽  
Cellular Automaton ◽  
Early Time ◽  
Universality Class ◽  
Kinetic Ising Model ◽  
Time Dynamics ◽  
Probabilistic Cellular Automaton ◽  
Time Regime ◽  
The One ◽  
Short Time

We study the short-time dynamics of a three-state probabilistic cellular automaton. This automaton, termed TD model, possess "up-down" symmetry similar to Ising models, and displays continuous kinetic phase transitions belonging to the Ising model universality class. We perform Monte Carlo simulations on the early time regime of the two-dimensional TD model at criticality and obtain the dynamic exponent θ associated to this regime, and the exponents β/ν and z. Our results indicate that, although the model do not possess microscopic reversibility, it presents short-time universality which is consistent with the one of the kinetic Ising model.

Sign in / Sign up

Export Citation Format

Share Document