Patterns and Long Range Correlations in Idealized Granular Flows

J. A. G. Orza (), R. Brito (), T. P. C. van Noije () and M. H. Ernst ()
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J. A. G. Orza: Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain
R. Brito: Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain
T. P. C. van Noije: Instituut voor Theoretische Fysica, Universiteit Utrecht, Postbus 80006, 3508 TA Utrecht, The Netherlands
M. H. Ernst: Instituut voor Theoretische Fysica, Universiteit Utrecht, Postbus 80006, 3508 TA Utrecht, The Netherlands

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 04, 953-965

Abstract: An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow fieldu(r, t)(vortices) and in the density fieldn (r, t)(clusters), driven by unstable fluctuations,δa = {δn, δu}. Their spatial correlations, , as measured in molecular dynamics simulations, exhibit long range correlations; the mean vortex diameter grows as$\xi(t)\propto\sqrt{\ln t}$; there occur transitions to macroscopic shearing states, etc.The Cahn–Hilliard theory of spinodal decomposition offers a qualitative understanding and quantitative estimates of the observed phenomena. When intrinsic length scales are of the order of the system size, effects of physical boundaries and periodic boundaries (finite size effects in simulations) are important.

Keywords: Granular Matter; Pattern Formulation; Long Range Correlations; 05.20.Dd; 05.40.+j; 81.05.Rm (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000825

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