HYBRIDIZED DISCRETE MODEL FOR THE ANISOTROPIC KARDAR-PARISI-ZHANG EQUATION

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.