EFFECT OF LONG-RANGE INTERACTIONS IN THE CONSERVED KARDAR-PARISI-ZHANG EQUATION

The conserved Kardar-Parisi-Zhang equation in the presence of long-ran ge nonlinear interactions is studied by the dynamic renormalization-gr oup method. The long-range effect produces new fixed points with conti nuously varying exponents and gives distinct phase transitions, depend ing on both the long-range interaction strength and the substrate dime nsion d. The long-range interaction makes the surface width less rough than that of the short-range interaction. In particular, the surface becomes a smooth one with a negative roughness exponent at the physica l dimension d=2. [S1063-651X(98)02011-X].