Perturbation theory of large-particle diffusion in a binary solvent mixture

Yuka Nakamura, Akira Yoshimori, Ryo Akiyama

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study the diffusion of a large spherical particle immersed in a binary compressive liquid mixture using a perturbation theory. We focus on the breakdown of the Stokes-Einstein (SE) relation caused by the microscopic solvation structure of binary solvent particles around a solute particle. In order to consider the solvation structure, we solve multicomponent generalized Langevin equations by singular perturbation expansion. Then, we assume that solvent particles are much smaller than the solute particle. Solving the equations, we express the diffusion coefficient analytically using the radial distribution functions of a binary mixture. The expression shows the breakdown of the SE relation if the density distribution of a binary solvent is inhomogeneous around a solute particle. Actually, we show that the SE relation breaks down when a large hard sphere diffuses in a binary hard-sphere mixture. We observe the large deviation from the SE relation, which is a result speci fic to the binary solvent.

Original languageEnglish
Article number064601
Journaljournal of the physical society of japan
Volume83
Issue number6
DOIs
Publication statusPublished - Jun 15 2014

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particle diffusion
perturbation theory
solutes
breakdown
solvation
radial distribution
binary mixtures
density distribution
diffusion coefficient
distribution functions
deviation
perturbation
expansion
liquids

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Perturbation theory of large-particle diffusion in a binary solvent mixture. / Nakamura, Yuka; Yoshimori, Akira; Akiyama, Ryo.

In: journal of the physical society of japan, Vol. 83, No. 6, 064601, 15.06.2014.

Research output: Contribution to journalArticle

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