Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-30
Physics
Condensed Matter
Statistical Mechanics
6 pages, 5 figures
Scientific paper
10.1103/PhysRevE.69.066125
We study the absorbing phase transitions in coupled directed percolation (DP) processes with $N$-species particles in one dimension. The interspecies coupling is linear, bidirectional, and excitatory. We find that the presence of a spontaneous annihilation process $A\to 0$ is essential in stabilizing the absorbing phase (vacuum). In the coupled contact processes, the vacuum is stable and the system exhibits DP type transitions, regardless of the coupling strength, for all $N$. However, in the coupled branching annihilation random walks with one offspring (BAW), where particle annihilations occur only through binary diffusion processes $A+A\to 0$, the vacuum becomes unstable with respect to an arbitrarily small branching rate in a sufficiently strong coupling regime for $N\ge 3$. The N=2 BAW exhibits the DP type transition for any coupling strength, but the inclusion of interspecies hard core (HC) interaction makes the vacuum unstable again and the system is always active in a strong coupling regime. Critical behavior near the zero branching point is characterized by the scaling exponents, $\beta=\nu_{\bot}=1/2$ and $\nu_{||}=1$, regardless of the presence of HC interaction. We also discuss the effects of the asymmetric coupling.
Kwon Sungchul
Park Hyunggyu
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