title: Short-time self-diffusion coefficient of a particle in a colloidal suspension bounded by a microchannel: virial expansions and simulation.
abstract: Self-diffusion of colloidal particles confined to a cylindrical microchannel is considered theoretically and numerically. Virial expansion of the self-diffusion coefficient is performed. Two-body and three-body hydrodynamic interactions are evaluated with high precision using the multipole method. The multipole expansion algorithm is also used to perform numerical simulations of the self-diffusion coefficient, valid for all possible particle packing fractions. Comparison with earlier results shows that the widely used method of reflections is insufficient for calculations of hydrodynamic interactions even for small packing fractions and small particles radii, contrary to the prevalent opinion.
authors: Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland. mkedz@ippt.gov.pl
authors: Marcin
authors: M
authors: Kędzierski
authors: Eligiusz
authors: E
authors: Wajnryb
mesh_terms: D000465:Algorithms; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D057446:Hydrodynamics; D044085:Microfluidics; D008956:Models, Chemical; D010316:Particle Size; D013535:Suspensions / Q000737:chemistry
chemical_list: D003102:Colloids; D013535:Suspensions