A general creation-annihilation model with absorbing states
AUTOR(ES)
Dantas, Wellington G., Ticona, Armando, Stilck, Jürgen F.
FONTE
Brazilian Journal of Physics
DATA DE PUBLICAÇÃO
2005-06
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.
Documentos Relacionados
- PARTLY GENTLE PERTURBATION WITH APPLICATION TO PERTURBATION BY ANNIHILATION-CREATION OPERATORS*
- Some recent developments in models with absorbing states
- Critical behavior of models with infinitely many absorbing states
- One-dimensional lattice gas models with infinitely many absorbing states
- Models with infinitely many absorbing states analitically soluble