Abstract
To analyze long-range spatial correlations in surface growth, we study numerically a class of generalized Kardar-Parisi-Zhang equation with a fractional Laplacian and driven by long-range spatially correlated noise, and investigate interplay of the fractional Laplacian and correlated noise. We find that the growth system with long-range correlation exhibits nontrivial scaling properties, such as strong dependence on the noise correlation and weak dependence on the fractional order. The growth instability is also discussed in various parameter regimes.
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