Spatial Correlations in Compressible Granular Flows

Article, Preprint English OPEN
van Noije, T. P. C. ; Ernst, M. H. ; Brito, R. (1997)

The clustering instability in freely evolving granular fluids manifests itself in the density-density correlation function and structure factor. These functions are calculated from fluctuating hydrodynamics. As time increases, the structure factor of density fluctuations develops a maximum, which shifts to smaller wave numbers (growing correlation length). Furthermore, the inclusion of longitudinal velocity fluctuations changes long-range correlations in the flow field qualitatively and extends the validity of the theory for spatial velocity correlations to higher inelasticities. The theoretical predictions agree well with two-dimensional molecular-dynamics simulations.
  • References (11)
    11 references, page 1 of 2

    [1] H.M. Jaeger, S.R. Nagel and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).

    [2] I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); I. Goldhirsch, M-L. Tan and G. Zanetti, J. Scient. Comp. 8, 1 (1993).

    [3] S. McNamara, Phys. Fluids A 5, 3056 (1993); S. McNamara and W.R. Young, Phys. Rev. E 53, 5089 (1996).

    [4] P. Deltour and J.-L. Barrat, J. Phys. I France 7, 137 (1997).

    [5] S.E. Esipov and T. P¨oschel, J. Stat. Phys. 86, 1385 (1997).

    [6] J.J. Brey, F. Moreno and J.W. Dufty, Phys. Rev. E 54, 445 (1996); J.J. Brey, M.J. RuizMontero and D. Cubero, Phys. Rev. E 54, 3664 (1996).

    [7] T.P.C. van Noije, M.H. Ernst, R. Brito and J.A.G. Orza, Phys. Rev. Lett. 79, 411 (1997).

    [8] S. Chapman and T.G. Cowling, The Mathematical Theory of Non-uniform Gases, Cambridge University Press, 1970.

    [9] N. Sela and I. Goldhirsch, preprint (1997).

    [10] L. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon Press, 1959), ch. 17.

  • Metrics
    No metrics available
Share - Bookmark