INVESTIGADORES
HOYUELOS Miguel Luis
artículos
Título:
One-dimensional generalized branching annihilation random walker process with stochastic generation of offsprings
Autor/es:
EZEQUIEL ALBANO,; MIGUEL LUIS HOYUELOS; HECTOR MÁRTIN,
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 1997 vol. 239 p. 531 - 531
ISSN:
0378-4371
Resumen:
We introduce a branching annihilating random walker process with two species, particles A
and B, which diffuse creating new particles and annihilating instantaneously (A + B -> 0) when
they meet. Each kind of particle branches stochastically having offsprings of the same or different
type. The model is defined and studied by means of epidemic simulations in a one-dimensional
discrete lattice. The phase diagram of the model exhibits two states, the vacuum and the active
one, separated by a critical line. Along that line the system undergoes irreversible second order
phase transitions. Monte Carlo results show that the transitions belong to the same universality
class as directed percolation. In the limiting case when the generation of offsprings is forbidden,
the model is mapped into the standard diffusion-limited reaction A + B -> 0 which asymptotically
evolves towards the vacuum state. The transition between the stationary regime and such vacuum
states is also studied.