Many-particle mobility and diffusion tensors for objects in viscous sheets

作者:Sokolov Yulia*; Diamant Haim
来源:Journal of Chemical Physics, 2018, 149(3): 034901.
DOI:10.1063/1.5037061

摘要

We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor guarantees a positive dissipation rate for any configuration of particles and forces, analogous to the Rotne-Prager-Yamakawa tensor for spherical particles in a three-dimensional viscous fluid. We test our result for a ring of radially driven particles, demonstrating the positive-definite property at all particle densities. The derived tensor can be utilized in Brownian dynamics simulations with hydrodynamic interactions for such systems as proteins in biomembranes and inclusions in free-standing liquid films. Published by AIP Publishing.

  • 出版日期2018-7-21