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Diffusion-limited aggregation in channel geometry.

Ellák Somfai1, Robin C Ball, Jason P DeVita

  • 1Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom. e.somfai@warwick.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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Numerical simulations reveal diffusion-limited aggregation in 2D channels mirrors radial growth. The fractal dimension and scaling corrections match radial cases, challenging prior research on cluster formation.

Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Diffusion-limited aggregation (DLA) is a fundamental process in nature and technology.
  • Previous studies suggested channel geometry might alter DLA scaling properties.

Purpose of the Study:

  • To investigate diffusion-limited aggregation in two-dimensional channel geometry.
  • To compare the fractal dimension and scaling behavior of DLA in channels versus radial systems.

Main Methods:

  • Extensive numerical simulations were employed.
  • Analysis focused on fractal dimension and leading correction to scaling.
  • Average cluster properties were examined using conformal mapping.

Main Results:

Related Experiment Videos

  • The fractal dimension (D=1.712+/-0.002) and leading correction to scaling in 2D channels were found to be identical to the radial case.
  • Average clusters in channels exhibit similarities, but are not identical, to Saffman-Taylor fingers.

    • Conclusions:

    • Two-dimensional channel geometry does not alter the fundamental fractal dimension of DLA compared to radial growth.
    • The findings challenge previous claims of geometric influence on DLA scaling.
    • Average cluster morphology in channels shows subtle differences from Saffman-Taylor patterns.