Discontinuous phase transitions of conserved threshold transfer process with deterministic hopping
Abstract
The deterministic conserved threshold transfer process, which is a variant of the conserved threshold transfer process modified in a way as that hopping of a particle is to be deterministic, is proposed. The critical behavior of the model is investigated in one, two, and four dimensions. It is found that the order parameter yields a discontinuous transition; i.e., the transition appears to be first ordered in all dimensions considered. The origin of such a discontinuous transition is investigated, considering clustering of active sites and accumulation of critical sites just before the steady state is reached.
- Publication:
-
Physical Review E
- Pub Date:
- July 2009
- DOI:
- 10.1103/PhysRevE.80.011106
- Bibcode:
- 2009PhRvE..80a1106L
- Keywords:
-
- 05.70.Ln;
- 05.50.+q;
- 64.60.Ht;
- Nonequilibrium and irreversible thermodynamics;
- Lattice theory and statistics;
- Dynamic critical phenomena