title: Long-ranged correlations in sheared fluids.
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-momentum 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 nonperturbative 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 l approximately sqrt[lambda(0)/a], where lambda(0) is the sound damping constant and a is the shear rate.
authors.affiliation: Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, CP 231, 1050 Brussels, Belgium.
authors.forename: James F
authors.initials: JF
authors.lastname: Lutsko
authors.forename: James W
authors.initials: JW
authors.lastname: Dufty