Critical Exponents of the Absorbing Phase Transition in the Conserved Threshold Transfer Process in One Dimension

The critical exponents of the absorbing phase transition in a conserved threshold transfer process were measured via Monte Carlo simulations. The exponents theta and beta, characterizing, respectively, the density of active particles in time and the order parameter against the distance from criticality, were found to be theta = 0.118 +/- 0.003 and beta = 0.396 +/- 0.015, respectively. The correlation-time exponent nu(parallel to) and the dynamic exponent z were estimated, respectively, as nu(parallel to) similar or equal to 3.36 and z similar or equal to 1.49 from the off-critical scaling and the finite-size scaling analyses using the all-sample averages of the active-site density. The scaling relations beta = nu(parallel to)theta and z = nu(parallel to)/nu(perpendicular to) were satisfied with the measured exponents, and the latter two exponents were found to be considerably different from the previously-reported results.