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The n-site approximation for the triplet-creation model

Ferreira, Anderson A.; Fontanari, José Fernando Universidade De São Paulo

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.42, n.8, 2009

IOP PUBLISHING LTD 2009

Acesso online

  • Título:
    The n-site approximation for the triplet-creation model
  • Autor: Ferreira, Anderson A.; Fontanari, José Fernando
  • Universidade De São Paulo
  • Assuntos: Irreversible Phase-Transition; Gulari-Barshad Model; Nonequilibrium Model; Directed Percolation; Contact Process; Lattice; Systems; Physics; Multidisciplinary; Physics; Mathematical
  • É parte de: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.42, n.8, 2009
  • Descrição: The nonequilibrium phase transition of the one-dimensional triplet-creation model is investigated using the n-site approximation scheme. We find that the phase diagram in the space of parameters (gamma, D), where gamma is the particle decay probability and D is the diffusion probability, exhibits a tricritical point for n >= 4. However, the fitting of the tricritical coordinates (gamma(t), D(t)) using data for 4 <= n <= 13 predicts that gamma(t) becomes negative for n >= 26, indicating thus that the phase transition is always continuous in the limit n -> infinity. However, the large discrepancies between the critical parameters obtained in this limit and those obtained by Monte Carlo simulations, as well as a puzzling non-monotonic dependence of these parameters on the order of the approximation n, argue for the inadequacy of the n-site approximation to study the triplet-creation model for computationally feasible values of n.
    CNPq Conselho Nacional de Desenvolvimento Cientifico e Tecnologico
    Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)
    Fundação de Amparo à Pesquisa do Estado de São Paulo - FAPESP[04/06156-3]
  • DOI: 10.1088/1751-8113/42/8/085004
  • Títulos relacionados: Journal of Physics A-mathematical and Theoretical
  • Editor: IOP PUBLISHING LTD
  • Data de publicação: 2009
  • Idioma: Inglês

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