Comment on "Dependence of asymptotic decay exponents on initial condition and the resulting scaling violation

초록

We present the mapping relation between a one-dimensional conserved lattice gas model and a two species reaction A + B -> 0. From the kinetics of A + B -> 0, we show that the anomalous critical decay of an order parameter in the conserved lattice gas model results from finite-size effects induced by the domain structure for random initial conditions where the scaling relation z = nu(vertical bar vertical bar) /nu(perpendicular to) is violated. A simple initial condition satisfying the scaling relation is also discussed.