Shear-induced order in suspensions

Moshe Schwartz

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 395-402

Abstract: A suspension of particles in a liquid is considered. Each particle is affected by forces due to the other particles, a drag force proportional to the velocity of the particles relative to the local velocity of the liquid and a fluctuating random noise. The effect of the particles on the velocity field of the liquid is neglected. The problem is mapped onto a quantum mechanical many-boson non-Hermitian system. It is shown within the random-phase approximation (RPA) that, for constant rate shear flow, the system of particles may become unstable against one-dimensional ordering (in parallel planes). The line of instability and the interplane distance are obtained for the hard sphere system.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:395-402

DOI: 10.1016/S0378-4371(99)00108-9

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