Effect of long range interactions on the growth of compact clusters under deposition
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In the paper the role of long range interactions on the growth of a volume conserving surface is studied using the Nonlocal Conserved Kardar-Parisi-Zhang (NCKPZ) equation. It is shown that previous theoretical predictions are inconsistent with an exact one-dimensional result. This serves as a motivation for construction of a Self-Consistent Expansion (SCE) that recovers the exact one-dimensional result, and gives the scaling exponents in higher dimensions as well. A possible application of this result to colloidal systems is discussed.
PACS.05.70.Ln Nonequilibrium and irreversible thermodynamics 02.50.-r Probability theory, stochastic processes, and statistics
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