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Related Experiment Videos

van der Waals normal form for a one-dimensional hydrodynamic model.

C Cartes1, M G Clerc, R Soto

  • 1Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago, Chile.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
PubMed
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This study models phase separation in fluidized granular systems. A hydrodynamic model and van der Waals equation reveal effective viscosity and spatial saturation origins, matching simulations.

Area of Science:

  • Physics
  • Granular Materials Science

Background:

  • Fluidized granular systems can exhibit phase separation.
  • Understanding this phenomenon is crucial for material processing and transport.

Purpose of the Study:

  • To investigate phase separation in a simplified 1D hydrodynamic model of a 2D fluidized granular system.
  • To analyze the system's slow dynamics and critical behavior near the phase transition.

Main Methods:

  • Developed a 1D hydrodynamic model simulating a 2D granular system with a vibrating wall.
  • Employed adiabatic elimination of temperature to derive the van der Waals normal form near the critical point.

Main Results:

  • The derived van der Waals normal form accurately describes the system's slow dynamics.

Related Experiment Videos

  • Identified the origins of effective viscosity and spatial saturation at the bifurcation onset.
  • Model behavior closely replicates findings from molecular dynamics simulations.

    • Conclusions:

    • The hydrodynamic model and van der Waals equation provide a robust framework for understanding granular phase separation.
    • This approach offers insights into critical phenomena and effective properties in granular flows.