Perturbation Theory of Large-Particle Diffusion

Inayoshi, Yuko; Yoshimori, Akira; Akiyama, Ryo

doi:10.1143/jpsj.81.114603

Cited by 13 publications

(8 citation statements)

References 42 publications

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“…We expanded eqs. (8) and (9) in powers of a small size ratio between the solute and solvent particles. The Stokes law is given by the zeroth-order term in the expansion.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…The detailed derivation of eqs. (12) and (13) will be described in a forthcoming paper [15], although it has some similarities to the one-component case [8].…”

Section: Perturbation Expansionmentioning

confidence: 99%

“…(10) and (11) with the boundary conditions given by eqs. (12) and (13), we derive the friction coefficient K as [8] …”

Section: Perturbation Expansionmentioning

confidence: 99%

“…This fundamental phenomenon is of interest to many researchers of biology as well as physics [1][2][3][4][5][6][7][8]. In particular, one cannot disregard the friction from solvent particles when considering the dynamical functions of biomolecules [7].…”

Section: Introductionmentioning

confidence: 99%

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A Perturbation Theory for Friction of a Large Particle Immersed in a Binary Solvent

2012

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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.

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“…We expanded eqs. (8) and (9) in powers of a small size ratio between the solute and solvent particles. The Stokes law is given by the zeroth-order term in the expansion.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…The detailed derivation of eqs. (12) and (13) will be described in a forthcoming paper [15], although it has some similarities to the one-component case [8].…”

Section: Perturbation Expansionmentioning

confidence: 99%

“…(10) and (11) with the boundary conditions given by eqs. (12) and (13), we derive the friction coefficient K as [8] …”

Section: Perturbation Expansionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Perturbation Theory for Friction of a Large Particle Immersed in a Binary Solvent

2012

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“…The first category is silicone oils, which includes (1)−( 4). The second one is the solvents comprising chainlike molecules, (5)− (7). The third is those with ring groups, (8)− (11).…”

Section: Methodsmentioning

confidence: 99%

Reorientational Relaxation of Small Solutes in Viscoelastic Liquids

2016

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The reorientational relaxation times of some small aromatic solutes are determined with nuclear magnetic resonance spectroscopy and time-resolved fluorescence anisotropy measurements in various solvents that exhibit viscoelasticity in the megahertz region. All the reorientational relaxation times in viscoelastic liquids are shorter than those predicted by the hydrodynamic Stokes-Einstein-Debye (SED) relation using the steady-state shear viscosity. The deviation from the SED relation becomes larger in solvents whose shear relaxation is slower. When the reorientational relaxation times in a solvent are compared, the deviation from the SED relation tends to decrease when the reorientational relaxation time increases. From a comparison with the shear relaxation spectra, it is demonstrated that the deviation from the SED relation can be ascribed to the effective reduction of the viscous friction on fast reorientation, reflecting the decrease in shear viscosity with increasing frequency.

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Effects of interactions between particles on dynamics in microrheology

Inoue

Yoshimori

2014

Journal of Molecular Liquids

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Perturbation Theory of Large-Particle Diffusion

Cited by 13 publications

References 42 publications

A Perturbation Theory for Friction of a Large Particle Immersed in a Binary Solvent

A Perturbation Theory for Friction of a Large Particle Immersed in a Binary Solvent

Reorientational Relaxation of Small Solutes in Viscoelastic Liquids

Effects of interactions between particles on dynamics in microrheology

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