Sep, 2012
A Perturbation Theory for Friction of a Large Particle Immersed in a Binary Solvent
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
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- Volume
- 81
- Number
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1143/JPSJS.81SA.SA026
- Publisher
- PHYSICAL SOC JAPAN
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.
- Link information
- ID information
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- DOI : 10.1143/JPSJS.81SA.SA026
- ISSN : 0031-9015
- Web of Science ID : WOS:000208846400027