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Title: Generalized contact process with n absorbing states
Authors: HOOYBERGHS, Jef 
Carlon, E
Issue Date: 2001
Source: PHYSICAL REVIEW E, 6403(3)
Abstract: We investigate the critical properties of a one-dimensional stochastic lattice model with n (permutation symmetric) absorbing states. We analyze the cases with n less than or equal to4 by means of the nonhermitian density-matrix renormalization group. For n = 1 and n = 2 we find that the model is, respectively, in the directed percolation and parity conserving universality class, consistent with previous studies. For n = 3 and n = 4, the model is in the active phase in the whole parameter space and the critical point is shifted to the limit of one infinite reaction rate. We show that in this limit, the dynamics of the model can be mapped onto that of a zero temperature n-state Potts model. On the basis of our numerical and analytical results, we conjecture that the model is in the same universality class for all n greater than or equal to 3 with exponents z = nu (parallel to)/nu (perpendicular to) = 2, nu (perpendicular to) = 1, and beta = 1. These exponents coincide with those of the multispecies (bosonic) branching annihilating random walks. For n = 3 we also show that, upon breaking the symmetry to a lower one (Z(2)), one gets a transition either in the directed percolation, or in the parity conserving class, depending on the choice of parameters.
Notes: Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium. Aspirant Fonds Wetenschappelijk Onderzoek, Vlaanderen, Belgium. Univ Padua, Dipartimento Fis, INFM, I-35131 Padua, Italy. Inst Theoret Fys, B-3001 Heverlee, Belgium.Hooyberghs, J, Limburgs Univ Ctr, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium.
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ISSN: 1063-651X
DOI: 10.1103/PhysRevE.64.036124
ISI #: 000171136400038
Category: A1
Type: Journal Contribution
Validations: ecoom 2002
Appears in Collections:Research publications

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