Effects of diffusion in competitive contact processes on bipartite lattices
| Autor: | C. E. Fiore, M. M. de Oliveira |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Physics Contact process Statistical Mechanics (cond-mat.stat-mech) Condensed matter physics Monte Carlo method FOS: Physical sciences Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Universality (dynamical systems) Extinction (optical mineralogy) Phase (matter) 0103 physical sciences Bipartite graph Particle Statistics Probability and Uncertainty Diffusion (business) 010306 general physics Condensed Matter - Statistical Mechanics |
| Popis: | We investigate the influence of particle diffusion in the two-dimension contact process (CP) with a competitive dynamics in bipartite sublattices, proposed in [Phys. Rev. E 84, 011125 (2011)]. The particle creation depends on its first and second neighbors and the extinction increases according to the local density. In contrast to the standard CP model, mean-field theory and numerical simulations predict three stable phases: inactive (absorbing), active symmetric and active asymmetric, signed by distinct sublattice particle occupations. Our results from MFT and Monte Carlo simulations reveal that low diffusion rates do not destroy sublattice ordering, ensuring the maintenance of the asymmetric phase. On the other hand, for diffusion larger than a threshold value Dc, the sublattice ordering is suppressed and only the usual active (symmetric)-inactive transition is presented. We also show the critical behavior and universality classes are not affected by the diffusion. |
| Databáze: | OpenAIRE |
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