On the automaton representation of the Edwards–Wilkinson model with quenched disorder

We reinvestigate the automaton version of an Edwards–Wilkinson-type model with quenched disorder introduced recently by Leschhorn [Leschhorn, Physica A 195 (1993) 324] in interface dimensions at the depinning transition. Our numerical results suggest that the dynamic exponent z has a -independent value while the roughness exponent α has the value .