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Phys. Rev. E 78, 040601(R) (2008) [4 pages]

Competitive nucleation in reversible probabilistic cellular automata

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Emilio N. M. Cirillo1, Francesca R. Nardi2,3, and Cristian Spitoni3,4
1Dipartimento Me. Mo. Mat., Università degli Studi di Roma “La Sapienza,” via A. Scarpa 16, 00161 Roma, Italy
2Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
3Eurandom, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands
4Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands

Received 26 May 2008; published 1 October 2008

The problem of competitive nucleation in the framework of probabilistic cellular automata is studied from the dynamical point of view. The dependence of the metastability scenario on the self-interaction is discussed. An intermediate metastable phase, made of two flip-flopping chessboard configurations, shows up depending on the ratio between the magnetic field and the self-interaction. A behavior similar to the one of the stochastic Blume-Capel model with Glauber dynamics is found.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.040601
DOI:
10.1103/PhysRevE.78.040601
PACS:
64.60.qe, 64.60.My, 05.50.+q, 05.70.Ln
 
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