Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Brownian Motion, Transport and Anomalous Diffusion

DY 26.11: Talk

Tuesday, March 17, 2020, 12:45–13:00, HÜL 186

Hydrodynamic resistance matrices of colloidal particles with various shapes* — Johannes Voß and •Raphael Wittkowski — Institut für Theoretische Physik, Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany

The hydrodynamic resistance matrix encodes the shape- and size-dependent hydrodynamic properties of a colloidal particle that is suspended in a liquid. It determines the particle’s diffusion tensor and is typically needed when modeling the motion of purely Brownian, externally driven, or self-propelled colloidal particles or the behavior of dilute suspensions of such particles on the basis of Langevin equations, Smoluchowski equations, dynamical density functional theory, or other appropriate methods. So far, however, the hydrodynamic resistance matrix is available only for selected particle shapes. In this talk, we present and compare the hydrodynamic resistance matrices for various additional particle shapes that are relevant for current research, including apolar and polar as well as convex and partially concave shapes. The elements of the hydrodynamic resistance matrices are given as functions of shape parameters like the aspect ratio of the corresponding particle so that the results apply to continuous sets of particle shapes. This opens up new possibilities for studying the dynamics of colloidal particles with anisometric and even variable shapes.
*Funded by the Deutsche Forschungsgemeinschaft (DFG) – WI 4170/3-1