Nonequilibrium Fluctuations in Sedimenting Suspensions: A Dynamical Renormalization Group Theory
Soft Condensed Matter
2008-02-03 v1
Abstract
A nonlinear two-fluid stochastic hydrodynamical description of velocity and concentration fluctuations in sedimenting suspensions is constructed, and analyzed using self-consistent (SC) and renormalization group (RG) methods. The advection of particles by velocity fluctuations is shown to be ``relevant'' in all dimensions . Both RG and SC analyses predict a strong reduction in the dependence of velocity fluctuations on system-size relative to the obtained in the linearized theory of Caflisch and Luke [Phys. Fluids {\bf 28}, 785 (1985)]. This is an important step towards resolving a ten-year old puzzle in the field.
Cite
@article{arxiv.cond-mat/9610042,
title = {Nonequilibrium Fluctuations in Sedimenting Suspensions: A Dynamical Renormalization Group Theory},
author = {Alex Levine and Sriram Ramaswamy and Robijn Bruinsma},
journal= {arXiv preprint arXiv:cond-mat/9610042},
year = {2008}
}
Comments
Four pages, revtex, two .eps files, uses epsf.sty