Colloidal Hydrodynamics with Arbitrary Boundary Conditions

Hydrodynamic interactions are essential to the understanding of colloidal dynamics. Due to their complexity and computational cost, they are often ignored in simulations. Over the past decade, coarse-grained methods such as Stochastic Rotation Dynamics\footnote{A. Malevanets and R. Kapral, J. Chem.\ Phys. \textbf{112}, 7260 (2000)} (an example of the larger family of Multi-Particle Collision (MPC) methods\footnote{H. Noguchi and G. Gompper, Phys.\ Rev. E \textbf{78} 016706 (2008)}) have been developed to include these interactions efficiently in simulation. To use these methods for the study of self-assembly dynamics of particles with anisotropic surface chemistry, we extend previously implemented methods for stick boundary conditions\footnote{I. Gotze, H. Noguchi, and G. Gompper Phys.\ Rev. E \textbf{76} 046705 (2007)} to arbitrarily slipping surfaces on the curved surfaces of spherical colloids. We present a mapping from an easily tunable simulation parameter onto the slip length as defined by Navier, and discuss the dynamics of anisotropic particles simulated using this method.