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 |
|---|---|
| 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.
In: Journal of the Physical Society of Japan, Vol. 80, No. 7, 074609, 07.2011.Research output: Contribution to journal › Article
}
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
AN - SCOPUS:79960413101
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 -