Symbiotic contact process: Phase transitions, hysteresis cycles, and bistability

Autor: André A. Moreira, T. B. dos Santos, J. S. Andrade, Nuno A. M. Araújo, Humberto A. Carmona, C. I. N. Sampaio Filho
Rok vydání: 2018
Předmět:
Zdroj: Physical Review E. 98
ISSN: 2470-0053
2470-0045
DOI: 10.1103/physreve.98.062108
Popis: We performed Monte Carlo simulations of the symbiotic contact process on different spatial dimensions ($d$). On the complete and random graphs (infinite dimension), we observe hysteresis cycles and bistable regions, what is consistent with the discontinuous absorbing-state phase transition predicted by mean-field theory. By contrast, on a regular square lattice, we find no signs of bistability or hysteretic behavior. This result suggests that the transition in two dimensions is rather continuous. Based on our numerical observations, we conjecture that the nature of the transition changes at the upper critical dimension ($d_c$), from continuous ($dd_c$).
Comment: 6 pages, 6 figures
Databáze: OpenAIRE