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Fractional diffusion model for force distribution in static granular media.

W L Vargas1, J C Murcia, L E Palacio

  • 1Centro Internacional de Física, Bogotá, Colombia and School of Engineering, Universidad Militar Nueva Granada, Bogotá, Colombia. wvargas@007mundo.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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A new fractional diffusion model accurately describes normal contact forces in granular media. This model successfully reproduces experimental and numerical data, offering insights into particle physics.

Area of Science:

  • Physics
  • Materials Science
  • Engineering

Background:

  • Granular materials exhibit complex force distributions.
  • Existing models struggle to capture all observed force distribution features.

Purpose of the Study:

  • Investigate normal contact force distributions in static granular packs.
  • Evaluate a novel semi-empirical model against experimental and numerical data.

Main Methods:

  • Numerical simulations of particle packs.
  • Experimental investigations.
  • Comparison with a fractional diffusion-derived model.

Main Results:

  • The probability distribution function of normal contact forces P(f) is well described by a semi-empirical fractional diffusion model.

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  • This model accurately reproduces key features, including finite P(f) at zero force.
  • The fractional model shows superior fit to both numerical and experimental data across various particle deformations.

    • Conclusions:

    • The fractional diffusion model provides a robust framework for understanding granular media physics.
    • This model offers improved accuracy over existing models for normal contact forces.
    • Findings complement previous research on granular material behavior.