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

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  • E. Katzav

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • E. Katzav, 2006. "Effect of long range interactions on the growth of compact clusters under deposition," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(2), pages 137-140, November.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:2:p:137-140
    DOI: 10.1140/epjb/e2006-00437-9
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    Cited by:

    1. Lu, Xinyu & Hao, Dapeng & Xia, Hui, 2022. "Kinetic roughening in the nonlocal Kardar–Parisi–Zhang growth: Pseudospectral versus finite difference schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

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