Eur. Phys. J. B 54, 137-140 (2006)
https://doi.org/10.1140/epjb/e2006-00437-9

Effect of long range interactions on the growth of compact clusters under deposition

Laboratoire de Physique Statistique de l'École Normale Supérieure, CNRS UMR 8550, 24 rue Lhomond, 75231 Paris Cedex 05, France

Corresponding author: ^a katzav@lpt.ens.fr

Received: 4 September 2006
Published online: 13 December 2006

Abstract

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.