title: Universality class of the conserved Manna model in one dimension.
abstract: The nonequilibrium absorbing phase transition of the discrete conserved Manna model was studied via Monte Carlo simulations on a one-dimensional chain, using the natural initial states with a sequential update. The critical density of the particles was found to be smaller than the recently reported value, and the order-parameter exponent was considerably different from the directed percolation (DP) value. The influence of quenched disorder was also studied on a diluted strip of L_{x}×L_{y} lattice sites with L_{x}≫L_{y}, and the results were compared with those of the contact process (CP). It was found that the Manna model and the CP exhibited distinctly different behaviors; the CP exhibited nonuniversal power-law decreases of active-site densities in the Griffith phase, whereas the Manna model showed a standard critical behavior. These results consistently suggest that the Manna model belongs to a universality class that is different from the DP class.
authors.affiliation: Department of Physics, Kyungpook National University, Daegu 702-701, Korea.
authors.forename: Sang Bub
authors.initials: SB
authors.lastname: Lee
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D009010:Monte Carlo Method; D044367:Phase Transition