Monte Carlo simulation of absorbing phase transition in the models with a conserved field on diluted lattices

An influence of quenched disorder on absorbing phase transitions of the conserved lattice gas (CLG) model and the conserved threshold transfer process (CTTP) was investigated via Monte Carlo simulations. It was found that when the concentration of disordered site is less than the critical concentration, the critical exponents were similar to those of the pure models for both the CLG and the CTTP models. When the concentration becomes critical, the density of active particles showed nonuniversal power-law behavior for all particle densities for the CLG model, whereas the CTTP model exhibited usual critical behavior but with different critical exponents. The nonuniversal power law was attributed to the dead ends on an infinite percolation network. Eliminating those dead ends, it was found that both the CLG model and the CTTP model exhibited usual critical behavior; the estimated exponents were similar for the two models, and they were also similar to those of the CTTP model on an infinite network.