The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion

Abstract

A directed percolation process with two symmetric particle species exhibiting exclusion in one dimension is investigated numerically. It is shown that if the species are coupled by branching ($A\to AB$, $B\to BA$) a continuous phase transition will appear at zero branching rate limit belonging to the same universality class as that of the dynamical two-offspring (2-BARW2) model. This class persists even if the branching is biased towards one of the species. If the two systems are not coupled by branching but hard-core interaction is allowed only the transition will occur at finite branching rate belonging to the usual 1+1 dimensional directed percolation class.

3 pages, 3 figures included

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Cited by in corpus (7)

• Universality classes in nonequilibrium lattice systems
• Phase transition of a two dimensional binary spreading model
• Phase transition of the one-dimensional coagulation-production process
• Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
• Criticality of natural absorbing states
• Stability of vacuum in coupled directed percolation processes
• One-dimensional Nonequilibrium Kinetic Ising Models with local spin-symmetry breaking: N-component branching annihilation transition at zero branching rate