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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Apr;65(4):041104. doi: 10.1103/PhysRevE.65.041104. Epub 2002 Mar 28.

Diffusion of a nearly spherical deformable body in a randomly stirred host fluid.

Physical review. E, Statistical, nonlinear, and soft matter physics

Moshe Schwartz, Gad Frenkel

Affiliations

  1. Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, 69978, Israel.

PMID: 12005803 DOI: 10.1103/PhysRevE.65.041104

Abstract

The motion of a deformable body is investigated for cases in which the body is immersed in an incompressible fluid that is randomly stirred. Sticking to physical situations in which the body departs only slightly from its spherical shape, we show that the motion of its center is decoupled from its deformation degrees of freedom. We study the general case in which the velocity field, imposed on the system, is correlated both in space and time. We derive the mean-squared displacement of the body for the general random velocity field, and consider several useful cases including: white-noise flow, turbulence-like flow, and thermal agitation.

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