Artículo
Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
Fecha de publicación:
10/2012
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We consider the directed percolation process as a prototype of systems displaying a nonequilibrium phase transition into an absorbing state. The model is in a critical state when the activation probability is adjusted at some precise value p c. Criticality is lost as soon as the probability to activate sites at the first attempt, p 1, is changed. We show here that criticality can be restored by "compensating" the change in p 1 by an appropriate change of the second time activation probability p 2 in the opposite direction. At compensation, we observe that the bulk exponents of the process coincide with those of the normal directed percolation process. However, the spreading exponents are changed and take values that depend continuously on the pair (p 1,p 2). We interpret this situation by acknowledging that the model with modified initial probabilities has an infinite number of absorbing states.
Palabras clave:
percolation
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Landes, François; Rosso, Alberto; Jagla, Eduardo Alberto; Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 4; 10-2012; 1-8
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