Levine, Alex and Ramaswamy, Sriram and Frey, Erwin and Bruinsma, Robijn (1998) Screened and unscreened phases in sedimenting suspensions. In: Physical Review Letters, 81 (26). pp. 5944-5947.
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A coarse-grained stochastic hydrodynamical description of velocity and concentration fluctuations in steadily sedimenting suspensions is constructed and analyzed using self-consistent and renormalization-group methods. We find a nonequilibrium phase transition from an "unscreened" phase in which we recover the Caflisch-Luke [Phys. Fluids 28, 759 (1985)] divergence of the velocity variance to a "screened" phase where the fluctuations have a finite correlation length depending on the volume fraction phi as phi(-1/3), in agreement with Segre et al. [Phys. Rev. Lett. 79, 2574 (1997)] (if their observation of a phi-independent diffusivity is used), and the velocity variance is independent of system size.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to American Physical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Physics|
|Date Deposited:||30 Dec 2009 07:28|
|Last Modified:||19 Sep 2010 05:27|
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