Abstract
By using the dynamic renormalization group approach, we analyze a nonlocal conserved Kardar-Parisi-Zhang equation with spatially correlated conservative noise in order to study the effect of the long-range nature of interactions coupled with spatially correlated noise on the dynamics of a volume conserving surface. The roughness of the surface depends on both the long-range interaction strength and the spatial correlation parameter. The surface becomes less rough by the long-range interaction, while it becomes more rough by the spatial correlation of noise. We also study the nonlocal conserved Kardar-Parisi-Zhang equation with spatially correlated nonconservative noise.
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