Universality classes of absorbing phase transitions in generic branching-annihilating particle systems

Abstract

We study absorbing phase transitions in systems of branching annihilating random walkers and pair contact process with diffusion on a one dimensional ring, where the walkers hop to their nearest neighbor with a bias $\epsilon$. For $\epsilon =0$, three universality classes: directed percolation (DP), parity conserving (PC) and pair contact process with diffusion (PCPD) are typically observed in such systems. We find that the introduction of $\epsilon$ does not change the DP universality class but alters the other two universality classes. For non-zero $\epsilon$, the PCPD class crosses over to DP and the PC class changes to a new universality class.

5 pages, 7 figures

References in corpus (3)

• The non-equilibrium phase transition of the pair-contact process with diffusion
• Driven Pair Contact Process with Diffusion
• Three different routes from the directed Ising to the directed percolation class

Cited by in corpus (3)

• Absorbing phase transitions in a non-conserving sandpile model
• Effect of presence of rigid impurities in a system of annihilating domain walls with dynamic bias
• Crossover from dynamical percolation class to directed percolation class on a two dimensional lattice