1997
DOI: 10.1142/s0129183197000825
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Patterns and Long Range Correlations in Idealized Granular Flows

Abstract: An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field u(r, t) (vortices) and in the density field n(r, t) (clusters), driven by unstable fluctuations, δa = {δn, δu}. Their spatial correlations, δa(r, t)δa(r ′ , t) , as measured in molecular dynamics simulations, exhibit long range correlations; the mean vortex diameter grows as ξ(t) ∝ √ ln t; there occur transitions to macroscopic shearing states, etc. The Cahn-Hilliard theory of spinodal decomposit… Show more

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Cited by 55 publications
(65 citation statements)
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“…As explained above, the appearance of density clusters can even be further delayed, or all together suppressed by decreasing the system size [27,28,29,23] This implies,…”
Section: Incompressible Flowsmentioning
confidence: 91%
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“…As explained above, the appearance of density clusters can even be further delayed, or all together suppressed by decreasing the system size [27,28,29,23] This implies,…”
Section: Incompressible Flowsmentioning
confidence: 91%
“…On the basis of kinetic theory one can derive that the rate of collisional energy loss, Γ = 2γ 0 ωT , is proportional to the collision frequency ω multiplied by the fraction of energy ǫT lost per collision [22,23], where γ 0 = ǫ/2d = (1 − α 2 )/2d. In general, the collision frequency ω(T ) is proportional to the root mean square velocity v 0 = 2T /m, and its explicit form for hard sphere fluids can be found in Refs.…”
Section: Dynamic Equations and Instabilitiesmentioning
confidence: 99%
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