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

Yuka Nakamura, Akira Yoshimori, Ryo Akiyama

Research output: Contribution to journalArticle

10 Citations (Scopus)

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

Fingerprint

friction
perturbation theory
solutes
hydrodynamic equations
boundary conditions
Stokes law
expansion
radial distribution
distribution functions
perturbation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

A perturbation theory for friction of a large particle immersed in a binary solvent. / Nakamura, Yuka; Yoshimori, Akira; Akiyama, Ryo.

In: journal of the physical society of japan, Vol. 81, No. SUPPL. A, SA026, 01.01.2012.

Research output: Contribution to journalArticle

@article{872ba4876f704437a008568156c86884,
title = "A perturbation theory for friction of a large particle immersed in a binary solvent",
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.",
author = "Yuka Nakamura and Akira Yoshimori and Ryo Akiyama",
year = "2012",
month = "1",
day = "1",
doi = "10.1143/JPSJS.81SA.SA026",
language = "English",
volume = "81",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "SUPPL. A",

}

TY - JOUR

T1 - A perturbation theory for friction of a large particle immersed in a binary solvent

AU - Nakamura, Yuka

AU - Yoshimori, Akira

AU - Akiyama, Ryo

PY - 2012/1/1

Y1 - 2012/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84866392995&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866392995&partnerID=8YFLogxK

U2 - 10.1143/JPSJS.81SA.SA026

DO - 10.1143/JPSJS.81SA.SA026

M3 - Article

VL - 81

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - SUPPL. A

M1 - SA026

ER -