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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Diffusivity and weak clustering in a quasi-two-dimensional granular gas.

J A Perera-Burgos1, G Pérez-Ángel, Y Nahmad-Molinari

  • 1Departamento de Física Aplicada, Centro de Investigación y de Estudios Avanzados del IPN, Unidad Mérida, AP 73 Cordemex, 97310 Mérida, Yucatán, Mexico. jperera@mda.cinvestav.mx

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary

Simulations reveal that granular gases exhibit clustering due to dissipation, which is influenced by collision properties and particle density. Diffusion is enhanced in diluted gases with lower energy loss during collisions.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Granular Materials

Background:

  • Granular gases are systems of macroscopic particles interacting via collisions.
  • Understanding non-equilibrium phenomena in granular systems is crucial for various applications.
  • Previous studies have explored clustering and transport properties in granular media.

Purpose of the Study:

  • To investigate the clustering behavior and diffusion coefficients in a quasi-two-dimensional dissipative granular gas.
  • To analyze the influence of dissipation, packing fraction, and restitution coefficients on granular gas dynamics.

Main Methods:

  • Detailed numerical simulations of a quasi-two-dimensional granular gas.
  • Maintaining a non-condensed steady state using vertical shaking over a rough substrate.
  • Calculation of pair distribution functions and diffusion coefficients.

Main Results:

  • The granular gas exhibits weak power-law decay in pair distribution functions, indicating clustering.
  • Clustering is monotonically dependent on the dissipation coefficient and packing fraction.
  • Diffusion coefficients are higher in diluted gases with smaller restitution coefficients.

Conclusions:

  • Dissipation and packing fraction are key factors driving clustering in granular gases.
  • Non-equilibrium characteristics, such as non-Maxwellian velocity distributions, are present.
  • The interplay between dissipation and dilution affects the diffusive behavior of granular gases.