A perturbation theory for friction of a large particle immersed in a binary solvent

Yuka Nakamura, Akira Yoshimori, Ryo Akiyama

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Abstract

A new theory of a binary solvent is developed to study the effects of the density of solvent particles around a large solute particle on friction. To develop the theory, the solvent particles are assumed to be much smaller than the solute particle, and then a perturbation expansion is employed. The expansion allows one to derive hydrodynamic equations with boundary conditions on the surface of a solute. The boundary conditions are calculated from the radial distribution functions of a binary solvent. The hydrodynamic equations with the boundary conditions provide an analytical expression for the friction. The developed theory is applied to a binary hard-sphere system. The present theory shows that the friction in the system has larger values than those predicted by the Stokes law.

Original languageEnglish
Article numberSA026
Journaljournal of the physical society of japan
Volume81
Issue numberSUPPL. A
DOIs
Publication statusPublished - Jan 1 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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