Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states

Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent beta of absorbing phase transitions in systems with two symmetric absorbing states. The value of beta was conjectured to be 13/14 approximate to 0.93 and Monte Carlo simulation studies in the literature have repeatedly reproduced values consistent with the conjecture. In this paper, we systematically estimate beta by analyzing the effective exponent after finding how strong corrections to scaling are. We show that the widely accepted numerical value of beta is not correct. Rather, we obtain beta = 1.020(5) from different models with two symmetric absorbing states.