Critical behavior of an even-offspringed branching and annihilating random-walk cellular automaton with spatial disorder

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Géza Ódor¹ and Nóra Menyhárd²
¹Research Institute for Technical Physics and Materials Science, H-1525 Budapest, P.O. Box 49, Hungary
²Research Institute for Solid State Physics, H-1525 Budapest, P.O. Box 49, Hungary

Received 16 December 2005; published 29 March 2006

Astochastic cellular automaton exhibiting a parity-conserving class transition has beeninvestigated in the presence of quenched spatial disorder by large-scalesimulations. Numerical evidence has been found that weak disorder causesirrelevant perturbation for the universal behavior of the transition andthe absorbing phase of this model. This opens up thepossibility for experimental observation of the critical behavior of anonequilibrium phase transition to absorbing state. For very strong disorderthe model breaks up into blocks with exponential-size distribution andcontinuously changing critical exponents are observed. For strong disorder therandomly distributed diffusion walls introduce another transition within the inactivephase of the model, in which residual particles survive theextinction. The critical dynamical behavior of this transition has beenexplored.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.036130
DOI:	10.1103/PhysRevE.73.036130
PACS:	05.70.Ln; 82.20.Wt; 05.70.Fh 05.70.Ln Nonequilibrium and irreversible thermodynamics 82.20.Wt Computational modeling and simulation of chemical kinetics 05.70.Fh Phase transitions: general studies YEAR: 2006
KEYWORDS:	random processes, stochastic processes, cellular automata, nonequilibrium thermodynamics, critical exponents, reaction-diffusion systems

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Phys. Rev. E 73, 036130 (2006) [7 pages]

Critical behavior of an even-offspringed branching and annihilating random-walk cellular automaton with spatial disorder

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A new free weekly publication from APS