Nonlocal Kardar-Parisi-Zhang equation with spatially correlated noise

The effects of spatially correlated noise on a phenomenological equation eq uivalent to a nonlocal version of the Kardar-Parisi-Zhang (KPZ) equation ar e studied via the dynamic renormalization group (DRG) techniques. The corre lated noise coupled with the long ranged nature of interactions prove the e xistence of different phases in different regimes, giving rise to a range o f roughness exponents defined by their corresponding critical dimensions. F inally self-consistent mode analysis is employed to compare the non-KPZ exp onents obtained as a result of the long-range interactions with the DRG res ults. [S1063-651X(99)11507-1].