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Ring kinetic theory for an idealized granular gas

Author

Listed:
  • Noije, T.P.C.van
  • Ernst, M.H.
  • Brito, R.

Abstract

The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-Liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion techniques we derive the Boltzmann and ring kinetic equations for inelastic hard spheres. In the simple ring approximation, we calculate the structure factor S⊥(k,t) of vorticity fluctuations in a freely evolving, dilute granular gas. The kinetic theory result agrees with the result derived previously from fluctuating hydrodynamics. If the fluctuations in the flow field can be considered incompressible, S⊥(k,t) determines the spatial correlations in the flow velocities, which are of dynamic origin and exhibit long range r−d-behavior. The analytic results are compared with molecular dynamics simulations.

Suggested Citation

  • Noije, T.P.C.van & Ernst, M.H. & Brito, R., 1998. "Ring kinetic theory for an idealized granular gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(1), pages 266-283.
    • Handle: RePEc:eee:phsmap:v:251:y:1998:i:1:p:266-283
    DOI: 10.1016/S0378-4371(97)00610-9
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    Cited by:

    1. Khalil, Nagi, 2021. "Approach to consensus in models of continuous-opinion dynamics: A study inspired by the physics of granular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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    Keywords

    Kinetic theory; Rapid granular flows;

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