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Long-Ranged Correlations in Sheared Fluids

James F. Lutsko·J. W. Dufty
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Abstract

The presence of long-ranged correlations in a fluid undergoing uniform shear flow is investigated. An exact relation between the density autocorrelation function and the density-mometum correlation function implies that the former must decay more rapidly than $1/r$, in contrast to predictions of simple mode coupling theory. Analytic and numerical evaluation of a non-perturbative mode-coupling model confirms a crossover from $1/r$ behavior at ''small'' $r$ to a stronger asymptotic power-law decay. The characteristic length scale is $\ell \approx \sqrt{λ_{0}/a}$ where $% λ_{0}$ is the sound damping constant and $a$ is the shear rate.

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James F. Lutsko, J. W. Dufty. 2002-05-17. Long-Ranged Correlations in Sheared Fluids. https://doi.org/10.1103/physreve.66.041206

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