Irreversible transitions in a two species Branching Annihilating Random Walker process

MIGUEL LUIS HOYUELOS; EZEQUIEL ALBANO,; HECTOR MÁRTIN,

MODERN PHYSICS LETTERS B

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 1996 vol. 10 p. 1283 - 1283

0217-9849

We introduce a branching annihilating random walker process with two species, particles A and B, which diffuse creating particles of opposite kind (A→A+B, B→B+A) and annihilating instantaneously (A+B→0) when they meet. The model is defined in a one dimensional discrete lattice. For particles A and B, the rate of jumping are pA and pB, and the rate of branching (1−pA) and (1−pB), respectively (0≤pA, pB≤1). In the [pA, pB]-plane it is found two different phases: the vacuum state and the active phase with finite density of particles. The system undergoes irreversible second order phase transitions between these states along a critical line. Monte Carlo results show that the transitions belong to the same universality class as directed percolation.