Hydrodynamic effect on concentration fluctuation in a two-component fluid membrane with a spherical shape

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4 Citations (Scopus)

Abstract

To the Gaussian model of a two-component fluid membrane with a spherical shape, we apply the mode coupling theory to study the hydrodynamic effect on the relaxation coefficient of concentration fluctuation in the homogeneous phase close to the critical point. In particular, when the viscosities of the three-dimensional fluids are the same inside and outside the vesicle, we obtain a concise analytical expression representing the hydrodynamic effect on the smallest wave-number mode. We derive its approximate expressions in various parameter regions to discuss the size effect of the vesicle. Much larger wave-number modes are studied numerically by means of our theoretical result. It is suggested that the hydrodynamic effect be diffusion-like, irrespective of the vesicle size, as long as the wavelength is much longer than the correlation length.

Original languageEnglish
Article number014601
JournalJournal of the Physical Society of Japan
Volume82
Issue number1
DOIs
Publication statusPublished - 2013 Jan

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hydrodynamics
membranes
fluids
coupled modes
critical point
viscosity
coefficients
wavelengths

Keywords

  • Critical slowing down
  • Kawasaki function
  • Lipid-bilayer membrane
  • Model HC
  • Racah coefficient
  • Raft
  • Vector spherical harmonics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "To the Gaussian model of a two-component fluid membrane with a spherical shape, we apply the mode coupling theory to study the hydrodynamic effect on the relaxation coefficient of concentration fluctuation in the homogeneous phase close to the critical point. In particular, when the viscosities of the three-dimensional fluids are the same inside and outside the vesicle, we obtain a concise analytical expression representing the hydrodynamic effect on the smallest wave-number mode. We derive its approximate expressions in various parameter regions to discuss the size effect of the vesicle. Much larger wave-number modes are studied numerically by means of our theoretical result. It is suggested that the hydrodynamic effect be diffusion-like, irrespective of the vesicle size, as long as the wavelength is much longer than the correlation length.",
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AB - To the Gaussian model of a two-component fluid membrane with a spherical shape, we apply the mode coupling theory to study the hydrodynamic effect on the relaxation coefficient of concentration fluctuation in the homogeneous phase close to the critical point. In particular, when the viscosities of the three-dimensional fluids are the same inside and outside the vesicle, we obtain a concise analytical expression representing the hydrodynamic effect on the smallest wave-number mode. We derive its approximate expressions in various parameter regions to discuss the size effect of the vesicle. Much larger wave-number modes are studied numerically by means of our theoretical result. It is suggested that the hydrodynamic effect be diffusion-like, irrespective of the vesicle size, as long as the wavelength is much longer than the correlation length.

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KW - Kawasaki function

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KW - Racah coefficient

KW - Raft

KW - Vector spherical harmonics

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