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Related Experiment Videos

Dynamical scaling behavior in two-dimensional ballistic deposition with shadowing.

Jianguo Yu1, Jacques G Amar

  • 1Department of Physics and Astronomy, University of Toledo, Toledo, Ohio 43606, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
Summary

This study reveals new universality classes in 2D ballistic deposition beyond vertical growth. Different particle angular distributions lead to distinct scaling behaviors and surface fractal dimensions.

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Area of Science:

  • Surface physics
  • Statistical mechanics
  • Materials science

Background:

  • Ballistic deposition models surface growth.
  • Dynamical scaling describes how surface roughness evolves.
  • Understanding universality classes is key to predicting material properties.

Purpose of the Study:

  • Investigate dynamical scaling in 2D ballistic deposition with shadowing.
  • Analyze the impact of particle angular distribution and lattice structure.
  • Identify distinct universality classes and their scaling exponents.

Main Methods:

  • Simulations of 2D ballistic deposition with shadowing.
  • Analysis of surface box counting for fractal dimension.
  • Calculation of coarsening (p) and roughening (beta) exponents.

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Main Results:

  • Identified at least three universality classes.
  • Vertical deposition yields a self-affine surface (p=2/3, beta=1/3, D(f)=1).
  • Anisotropic flux (uniform distribution) shows p=beta=1, D(f)≈1.7.
  • Isotropic flux (cosine distribution) shows p≈2/3, D(f)≈1.5, beta≈0.52-0.64.
  • Anomalous scaling of height-height correlation observed in anisotropic and isotropic cases.

Conclusions:

  • Asymptotic scaling depends on large-angle behavior of angular distribution.
  • Distinct universality classes arise from different flux distributions.
  • Lattice structure has a minor impact on roughening exponent in isotropic flux case.