Restricted Exclusion Processes without Particle Conservation Flows to Directed Percolation

Abstract

Absorbing phase transition in restricted exclusion processes are characterized by simple integer exponents. We show that this critical behaviour flows to the directed percolation (DP) universality class when particle conservation is broken suitably. The same transition, when studied using the average density as the controlling parameter, yields critical exponents quite different from DP; we argue that these exponents are actually related to DP by a scaling factor $1/\beta_{DP}.$ These conclusions also apply to conserved lattice gas in one dimension.