Long-range dynamic correlations in confined suspensions

Abstract

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show that the hydrodynamic screening is qualitatively modified when the time-dependent response and finite compressibility of the host liquid are taken into account. Diffusive compression modes in the confined liquid cause the particles to have velocity correlations of unbounded range, whose amplitude decays with time only as $t^{-3/2}$.

4 pages, 3 figures

References in corpus (5)

• Anomalous hydrodynamic interaction in a quasi-two-dimensional suspension
• Screened hydrodynamic interaction in a narrow channel
• Hydrodynamic interaction in confined geometries
• Anomalous Microfluidic Phonons Induced by the Interplay of Hydrodynamic Screening and Incompressibility
• Correlated particle dynamics in concentrated quasi-two-dimensional suspensions

Cited by in corpus (6)

• Non-decaying hydrodynamic interactions along narrow channels
• Induced long-time correlations in a two-component lattice gas
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• Hydrodynamic stress correlations in fluid films driven by stochastic surface forcing
• Sound-mediated dynamic correlations between colloidal particles in a quasi-one-dimensional channel
• Relationship between Characteristic Lengths and Effective Saffman Length in Colloidal Monolayers near a Water-Oil Interface