Detalhes bibliográficos
| Autor(a) principal: |
Dantas,Wellington G. |
| Data de Publicação: |
2005 |
| Outros Autores: |
Ticona,Armando,
Stilck,Jürgen F. |
| Tipo de documento: |
Artigo
|
| Idioma: |
eng |
| Título da fonte: |
Brazilian Journal of Physics |
| Texto Completo: |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000300028
|
Resumo: |
A one dimensional non-equilibrium stochastic model is proposed where each site of the lattice is occupied by a particle, which may be of type A or B. The time evolution of the model occurs through three processes: autocatalytic generation of A and B particles and spontaneous conversion A -> B. The two-parameter phase diagram of the model is obtained in one- and two-site mean field approximations, as well as through numerical simulations and exact solution of finite systems extrapolated to the thermodynamic limit. A continuous line of transitions between an active and an absorbing phase is found. This critical line starts at a point where the model is equivalent to the contact process and ends at a point which corresponds to the voter model, where two absorbing states coexist. Thus, the critical line ends at a point where the transition is discontinuous. Estimates of critical exponents are obtained through the simulations and finite-size-scaling extrapolations, and the crossover between universality classes as the voter model transition is approached is studied. |