Diffusion-limited association of nanoparticles in fluid: Beyond the no-slip boundary conditions
Journal article, 2022

In the treatments of diffusion-limited association of suspended nanoparticles (NPs), their diffusion coefficients are usually considered to be constant or depend on the interparticle distance as determined by fluid dynamics with the no-slip boundary condition. In the latter case, due to the corresponding slowdown of diffusion at short distances, the association rate constant is smaller than that calculated by ignoring this slowdown and using the diffusion coefficients corresponding to single NPs. The no-slip boundary condition can, however, be violated, and now there is evidence that it may happen more often than one could expect. In such situations, the partial-slip boundary condition is more suitable. Employing the latter boundary condition, I derive herein general integral expressions for the rate constant of association of spherically shaped NPs without and with the NP-NP interaction. Simple analytical results have been obtained in various situations.

Association

Nanoparticles

No-slip boundary condition

Partial-slip boundary condition

Particle-particle interaction

Diffusion

Author

Vladimir Zhdanov

Russian Academy of Sciences

Chalmers, Physics

Colloids and Interface Science Communications

2215-0382 (eISSN)

Vol. 46 100538

Subject Categories

Computational Mathematics

Biophysics

Mathematical Analysis

DOI

10.1016/j.colcom.2021.100538

More information

Latest update

12/21/2021