### Abstract

We calculate the drag coefficient of a circular liquid domain in a flat fluid membrane, which is surrounded by threedimensional fluids, by using the Stokes approximation. Taking into account the difference between the membrane viscosities inside and outside the domain, we obtain an integral equation involving a parameter, which is defined as unity minus the ratio of the latter viscosity to the former. We solve the equation up to the linear order with respect to the parameter to calculate the drag coefficient numerically. Its derivative with respect to the domain viscosity, evaluated when there is no difference between the membrane viscosities, is shown to almost vanish.

Original language | English |
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Article number | 074609 |

Journal | Journal of the Physical Society of Japan |

Volume | 80 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2011 Jul |

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### Keywords

- Biomembrane
- Diffusion coefficient
- Einstein-Stokes law
- Mixed boundary condition
- Raft

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Drag coefficient of a liquid domain in a fluid membrane.** / Fujitani, Youhei.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 80, no. 7, 074609. https://doi.org/10.1143/JPSJ.80.074609

}

TY - JOUR

T1 - Drag coefficient of a liquid domain in a fluid membrane

AU - Fujitani, Youhei

PY - 2011/7

Y1 - 2011/7

N2 - We calculate the drag coefficient of a circular liquid domain in a flat fluid membrane, which is surrounded by threedimensional fluids, by using the Stokes approximation. Taking into account the difference between the membrane viscosities inside and outside the domain, we obtain an integral equation involving a parameter, which is defined as unity minus the ratio of the latter viscosity to the former. We solve the equation up to the linear order with respect to the parameter to calculate the drag coefficient numerically. Its derivative with respect to the domain viscosity, evaluated when there is no difference between the membrane viscosities, is shown to almost vanish.

AB - We calculate the drag coefficient of a circular liquid domain in a flat fluid membrane, which is surrounded by threedimensional fluids, by using the Stokes approximation. Taking into account the difference between the membrane viscosities inside and outside the domain, we obtain an integral equation involving a parameter, which is defined as unity minus the ratio of the latter viscosity to the former. We solve the equation up to the linear order with respect to the parameter to calculate the drag coefficient numerically. Its derivative with respect to the domain viscosity, evaluated when there is no difference between the membrane viscosities, is shown to almost vanish.

KW - Biomembrane

KW - Diffusion coefficient

KW - Einstein-Stokes law

KW - Mixed boundary condition

KW - Raft

UR - http://www.scopus.com/inward/record.url?scp=79960413101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960413101&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.80.074609

DO - 10.1143/JPSJ.80.074609

M3 - Article

VL - 80

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 7

M1 - 074609

ER -