A general creation-annihilation model with absorbing states
| dc.creator | Dantas, Wellington G. | |
| dc.creator | Ticona, Armando | |
| dc.creator | Stilck, Jurgen F. | |
| dc.date | 2003-11-07 | |
| dc.date | 2005-06-11 | |
| dc.date.accessioned | 2026-07-07T02:54:39Z | |
| dc.date.available | 2026-07-07T02:54:39Z | |
| dc.description | 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 to 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. | |
| dc.description | 9 pages and 17 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0311152 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0311152 | |
| dc.identifier | Braz. J. Phys, 35, 536 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22634 | |
| dc.subject | Statistical Mechanics | |
| dc.title | A general creation-annihilation model with absorbing states | |
| dc.type | text |