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Diffusion and mobility in a stirred dense granular material.

Junfei Geng1, R P Behringer

  • 1Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708-0305, USA.

Physical Review Letters
|December 17, 2004
PubMed
Summary
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We measured diffusivity and mobility in dense 2D granular systems. Mobility depended strongly on velocity, and both diffusivity and mobility were influenced by tracer particle size.

Area of Science:

  • Physics
  • Materials Science
  • Granular Dynamics

Background:

  • Understanding particle transport in dense granular media is crucial for various applications.
  • Diffusivity (D) and mobility (B) are key parameters characterizing particle motion.
  • Previous studies often simplified the complex interactions within granular systems.

Purpose of the Study:

  • To probe the diffusivity (D) and mobility (B) of a dense two-dimensional (2D) granular system.
  • To investigate the relationship between particle motion, applied force, and tracer size.
  • To characterize the transport properties under controlled random motion.

Main Methods:

  • Particle tracking was employed to characterize diffusivity (D) under induced random motion via stirring.

Related Experiment Videos

  • Mobility (B) was measured by quantifying the force required to move tracer particles at a fixed velocity (v).
  • Three different sizes of tracer particles were used to assess size-dependent effects.

    • Main Results:

    • The system exhibited simple Brownian diffusion.
    • Mobility (B) showed a strong dependence on the fixed velocity (v).
    • The ratio of diffusivity to mobility (D/B) was found to be dependent on the tracer particle size.

    Conclusions:

    • The relationship between force and velocity in dense 2D granular systems is non-linear and velocity-dependent.
    • Tracer particle size plays a significant role in the measured transport properties.
    • These findings provide insights into the fundamental mechanics of granular flow and particle dynamics.