Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-04-11
Phys. Rev. E 64, 036118 (2001)
Physics
Condensed Matter
Statistical Mechanics
6 RevTex pages, 7 ps figures
Scientific paper
10.1103/PhysRevE.64.036118
The critical properties of a simple prey-predator model are revisited. For some values of the control parameters, the model exhibits a line of directed percolation like transitions to a single absorbing state. For other values of the control parameters one finds a second line of continuous transitions toward infinite number of absorbing states, and the corresponding steady-state exponents are mean-field like. The critical behavior of the special point T (bicritical point), where the two transition lines meet, belongs to a different universality class. The use of dynamical Monte-Carlo method shows that a particular strategy for preparing the initial state should be devised to correctly describe the physics of the system near the second transition line. Relationships with a forest fire model with immunization are also discussed.
Antal Tibor
Droz Michel
Lipowski Adam
Odor Geza
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