Patterns and scaling properties in a ballistic deposition model

Chao Tang and Shoudan Liang
Phys. Rev. Lett. 71, 2769 – Published 25 October 1993
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Abstract

We study a ballistic deposition model in 1+1 dimensions in which the incident angles (the angles between the incident trajectories and the substrate) of incoming particles and randomly distributed in the range [θ,π-θ]. We find a sharp morphological transition at a critical angle θc≊10 °. For θ>θc, the scaling properties of the interface are described by the Kardar-Parisi-Zhang equation. For θ<θc, the shadowing effect leads to a very different morphology. We determine the scaling properties of this new universality class numerically and analytically.

  • Received 1 July 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.2769

©1993 American Physical Society

Authors & Affiliations

Chao Tang and Shoudan Liang

  • NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540
  • Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802

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Issue

Vol. 71, Iss. 17 — 25 October 1993

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