Unified description of long-time tails and long-range correlation functions for sheared granular liquids

Abstract

Unified description on the long-time tail of velocity autocorrelation function and the long-range correlation for the equal-time spatial correlation functions is developed based on the generalized fluctuating hydrodynamics. The cross-over of the long-time tail from $t^{-3/2}$ to $t^{-5/2}$ is predicted independent of the density, and the equal-time spatial density correlation function and the equal-time spatial velocity correlation function respectively satisfy $r^{-11/3}$ and $r^{-5/3}$ for large $r$ limit.

10 pages. to be published in Euro. Phys. J. E

References in corpus (9)

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• Velocity correlations in dense granular flows observed with internal imaging
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Cited by in corpus (8)

• Enskog kinetic theory of rheology for a moderately dense inertial suspension
• Weakly nonlinear analysis of two dimensional sheared granular flow
• Hydrodynamic correlations in shear flow: A Multiparticle--Collision--Dynamics simulation study
• Spatial correlations of hydrodynamic fluctuations in simple fluids under shear flow: A mesoscale simulation study
• Quantitative test of the time dependent Gintzburg-Landau equation for sheared granular flow in two dimension
• A classical long-time tail in a driven granular fluid
• Kinetic theory of discontinuous shear thickening of a moderately dense inertial suspension of frictionless soft particles
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming