Diffusion of a Deformable Body in a Randomly Stirred Host Fluid

Abstract

Consider a deformable body immersed in an incompressible liquid that is randomly stirred. Sticking to physical situations in which the body departs only slightly from its spherical shape, we investigate the motion of the body, calculate its mean squared displacement for a correlation function of general form and consider several usefull families of correlation functions. We also consider, in detail, the case of thermal agitation and the validity of the small deformation approximation.