### 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 language | English |
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Article number | 064601 |

Journal | journal of the physical society of japan |

Volume | 83 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 15 2014 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*journal of the physical society of japan*,

*83*(6), [064601]. https://doi.org/10.7566/JPSJ.83.064601

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

Research output: Contribution to journal › Article

*journal of the physical society of japan*, vol. 83, no. 6, 064601. https://doi.org/10.7566/JPSJ.83.064601

}

TY - JOUR

T1 - Perturbation theory of large-particle diffusion in a binary solvent mixture

AU - Nakamura, Yuka

AU - Yoshimori, Akira

AU - Akiyama, Ryo

PY - 2014/6/15

Y1 - 2014/6/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84915791970&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84915791970&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.83.064601

DO - 10.7566/JPSJ.83.064601

M3 - Article

VL - 83

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

M1 - 064601

ER -