Two-species branching annihilating random walks with one offspring
| dc.creator | Kwon, Sungchul | |
| dc.creator | Park, Hyunggyu | |
| dc.date | 2000-10-25 | |
| dc.date.accessioned | 2026-07-07T02:39:07Z | |
| dc.date.available | 2026-07-07T02:39:07Z | |
| dc.description | We study the effects of hard core (HC) interactions between different species of particles on two-species branching annihilating random walks with one offspring(BAW$_2$(1)). The single-species model belongs to the directed percolation (DP) universality class. In the BAW$_2$(1) model, a particle creates one particle of the same species in its neighborhood with the probability $σ(1-p)$ and of the different species with $(1-σ)(1-p)$, where $p$ is the hopping probability. Without HC interactions, this model always exhibits the DP-type absorbing transition for all $σ$. Even with HC interactions, the nature of the phase transitions does not change except near $σ=0$, where the HC interaction destabilizes and completely wipes away the absorbing phase. The model is always active except at the annihilation fixed point of zero branching rate ($p=1$). Critical behavior near the annihilation fixed point is characterized by exponents $β= ν_\perp =1/2$ and $ν_{||} = 1$. | |
| dc.description | 4 pages, APCTP international workshop on similarity in diversity (Seoul, Korea; Aug.24, 2000): To appear in Journal of the Korean Physical Society | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0010380 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0010380 | |
| dc.identifier | Journal of the Korean Physical Society, 38, 490 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16930 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Two-species branching annihilating random walks with one offspring | |
| dc.type | text |