A Probabilistic Cellular Automaton for Evolution

1995 ◽  
Vol 5 (9) ◽  
pp. 1129-1134 ◽  
Author(s):  
Nikolaus Rajewsky ◽  
Michael Schreckenberg
1999 ◽  
Vol 290 (1-2) ◽  
pp. 216-229 ◽  
Author(s):  
James A. Gurney ◽  
Edward A. Rietman ◽  
Matthew A. Marcus ◽  
Mark P. Andrews

1998 ◽  
Vol 12 (21) ◽  
pp. 873-879 ◽  
Author(s):  
T. Tomé ◽  
J. R. Drugowich de Fel Icio

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.


2008 ◽  
Vol 17 (7) ◽  
pp. 2366-2372 ◽  
Author(s):  
Li Xing-Li ◽  
Kuang Hua ◽  
Song Tao ◽  
Dai Shi-Qiang ◽  
Li Zhi-Peng

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