Simulation of damage accumulation kinetics with a probabilistic cellular automaton

2006 ◽  
Vol 48 (2) ◽  
pp. 272-278 ◽  
Author(s):  
D. V. Alekseev ◽  
G. A. Kazunina
Keyword(s):  
Cellular Automaton ◽  
Damage Accumulation ◽  
Probabilistic Cellular Automaton ◽  
Accumulation Kinetics

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

scholarly journals Three-dimensional cellular automaton model for the destruction of brittle heterogeneous materials

2019 ◽  
Vol 129 ◽  
pp. 01020
Author(s):  
Galina Kazunina ◽  
Allay Cherednichenko
Keyword(s):  
Cellular Automaton ◽  
Correlation Functions ◽  
Damage Accumulation ◽  
Three Dimensional ◽  
Heterogeneous Materials ◽  
Electromagnetic Emission ◽  
Physical Experiments ◽  
Damage Structure ◽  
Pulsed Electromagnetic

The article investigates the evolution modes of cluster damage structure in brittle heterogeneous materials by using a three-dimensional probabilistic cellular automaton. By comparing the data of computer and physical experiments, there was established the essential role of the model parameter, which describes the intensity of the material destruction process under the influence of local overstress near the existing damage clusters - the probability of perimeter germination. The comparison of kinetic curves of damage accumulation and correlation functions showed that, depending on the probability value for damage cluster perimeter germination, two qualitatively different modes of evolution of damage accumulation process are observed. In this case, the best correspondence of correlation functions in model and physical experiment on pulsed electromagnetic emission is observed for perimeter germination probability values smaller than 0.2.

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.

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