Restricted exclusion processes without particle conservation flows to directed percolation
Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics - 1/AF Bidhan Nagar, Kolkata, 700064, India
Received: 14 June 2012
Accepted: 22 August 2012
Absorbing phase transitions 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/βDP. These conclusions also apply to conserved lattice gas in one dimension.
PACS: 64.60.ah – Percolation / 64.60.-i – General studies of phase transitions / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)
© EPLA, 2012