The n-site approximation for the triplet-creation model

Autor(es)

Ferreira, Anderson A. ^[1] ; Fontanari, Jose F. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 42, n. 8 FEB 27 2009.
• Citações Web of Science: 4

Resumo

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. (AU)

• Processo FAPESP: 04/06156-3 - Replicadores: aplicações em evolução pré-biótica e linguagem
• Beneficiário: José Fernando Fontanari
• Modalidade de apoio: Auxílio à Pesquisa - Temático