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
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
