Hj. Kim et al., HYBRIDIZED DISCRETE MODEL FOR THE ANISOTROPIC KARDAR-PARISI-ZHANG EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 1144-1147
We discuss a hybridized discrete model for the anisotropic Kardar-Pari
si-Zhang (KPZ) equation. We apply a restricted solid-on-solid rule in
one direction and a ballistic growth rule in the other direction such
that the model has anisotropic KPZ nonlinearities with opposite signs.
The surface width of the model shows that it belongs to the Edwards-W
ilkinson class. The directional height-height correlation functions co
nfirm that the values of the dynamic exponent are independent of the d
irections even for thr anisotropic case. The negative exponents in hig
her dimensions are also discussed.