Absorbing phase transition in the three dimensional fermionic parity-conserving particle process

Abstract By use of a Monte Carlo procedure we analyze a stochastic lattice model with parity-conserving particle process, previously considered in Takayasu and Tretyakov (1991). We perform simulations on a regular three-dimensional ( 3 D ) lattice in order to determine the threshold of absorbing phase transition. A finite-time scaling analysis is employed to calculate the critical exponents at the critical diffusion probability p c , below which a finite density of particles is developed in the long-time limit. From steady state simulations and finite-time scaling analysis we obtained these critical exponents and found them to differ from those of the 3 D directed percolation (DP) universality class. We also calculated the short-time relaxation dynamical critical exponents and checked the consistence with the hyperscaling relation.