One-dimensional generalized branching annihilating random walker process with stochastic generation of offsprings

Ezequiel V. Albano, Miguel Hoyuelos and Héctor O. Martin

Physica A: Statistical Mechanics and its Applications, 1997, vol. 239, issue 4, 531-541

Abstract: 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.

Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437197000034
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:239:y:1997:i:4:p:531-541

DOI: 10.1016/S0378-4371(97)00003-4

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().