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Diffusion and percolation in anisotropic random barrier models.

Sebastian Bustingorry1

  • 1Centro Atómico Bariloche, 8400 San Carlos de Bariloche, Río Negro, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2004
PubMed
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This study introduces an anisotropic random barrier model. The model accurately predicts diffusion coefficients and percolation thresholds in lattices, validated by simulations.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Understanding diffusion in disordered systems is crucial for materials science.
  • Anisotropic systems exhibit directional dependencies in their physical properties.
  • Random barrier models are used to simulate complex transport phenomena.

Purpose of the Study:

  • To present a novel anisotropic random barrier model.
  • To investigate the temperature dependence of diffusion coefficients in anisotropic lattices.
  • To analyze the relationship between diffusion and percolation properties.

Main Methods:

  • Development of an anisotropic random barrier model.
  • Application of effective medium approximation (EMA) for diffusion coefficients.

Related Experiment Videos

  • Analysis using critical percolation path approximation.
  • Validation through kinetic Monte Carlo simulations.

    • Main Results:

    • Anisotropic diffusion coefficients show Arrhenius temperature dependence at low temperatures.
    • A single activation energy is observed for all directions, linked to anisotropic percolation.
    • EMA accurately predicts the percolation threshold for a 2D anisotropic square lattice.

    Conclusions:

    • The anisotropic random barrier model provides a robust framework for studying diffusion.
    • The model successfully links transport properties to underlying lattice percolation.
    • EMA and simulations confirm the model's predictive power for anisotropic systems.