Patterns and Long Range Correlations in Idealized Granular Flows

Details Patterns and Long Range Correlations in Idealized Granular Flows Patterns and Long Range Correlations in Idealized Granular Flows

1997-02-03

arxiv.org/abs/cond-mat/9702029v1

Int. J. Mod. Phys. C 8, 953 1997

Physics

Condensed Matter

Statistical Mechanics

13 pages with 7 postscript figures, LaTeX (uses psfig). Submitted to International Journal of Modern Physics C

Scientific paper

10.1142/S0129183197000825

An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field (vortices) and in the density field (clusters), driven by unstable fluctuations. Their spatial correlations, as measured in molecular dynamics simulations, exhibit long range correlations; the mean vortex diameter grows as the square root of time; 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.

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