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The hydrodynamic resistance matrix is an important quantity for describingthe dynamics of colloidal particles. This matrix encodes the shape- andsize-dependent hydrodynamic properties of a particle suspended in a simpleliquid at low Reynolds number and determines the particle's diffusion tensor.For this reason, the hydrodynamic resistance matrix is typically needed whenmodeling the motion of free purely Brownian, externally driven, orself-propelled colloidal particles or the behavior of dilute suspensions ofsuch particles on the basis of Langevin equations, Smoluchowski equations,classical dynamical density functional theory, or other appropriate methods. Sofar, however, the hydrodynamic resistance matrix was available only for a fewparticle shapes. In this article, we therefore present the hydrodynamicresistance matrices for various particle shapes that are relevant for currentresearch, including apolar and polar as well as convex and partially concaveshapes. The elements of the hydrodynamic resistance matrices are given asfunctions of shape parameters like the aspect ratio of the correspondingparticle so that the results apply not only to discrete but instead tocontinuous sets of particle shapes. This work shall stimulate and supportfuture studies on colloidal particles with anisometric shapes.

Hydrodynamic resistance matrices of colloidal particles with various shapes