The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Brownian motion in thin sheets of viscous fluid
Abstract
The drag on a cylindrical particle moving in a thin sheet of viscous fluid is calculated. It is supposed that the sheet is embedded in fluid of much lower viscosity. A finite steady drag is obtained, which depends logarithmically on the ratio of the viscosities. The Einstein relation is used to determine the diffusion coefficient for Brownian motion of the particle, with application to the movement of molecules in biological membranes. In addition, the Brownian motion is calculated using the Langevin equation, and a logarithmically time-dependent diffusivity is obtained for the case when the embedding fluid has zero viscosity.
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Citations
Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Physical properties of the fluid lipid-bilayer component of cell membranes: a perspective
Bloom, M., Evans, E., & Mouritsen, O. G. (1991) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583500003735 · Cited by 872
Enhanced molecular diffusibility in muscle membrane blebs: release of lateral constraints.
Tank, D. W., Wu, E. S., & Webb, W. W. (1982) · The Journal of cell biology · doi:10.1083/jcb.92.1.207 · Cited by 260
Mobility in geometrically confined membranes
Domanov, Y. A., Aimon, S., Toombes, G. E. S., Renner, M., Quemeneur, F., Triller, A., Turner, M. S., & Bassereau, P. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1102646108 · Cited by 105
Diffusion on membrane tubes: a highly discriminatory test of the Saffman-Delbruck theory
Daniels, D. R., & Turner, M. S. (2007) · Langmuir · doi:10.1021/la0635000 · Cited by 41
Metadata
- Authors
- Saffman, P. G.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1976-02-24
- Volume
- 73
- Issue
- 4
- Pages
- 593-602
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2122771245
- Cited by
- 390
- References
- 1
- FWCI
- 3.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- Saffman, P. G. (1976). Brownian motion in thin sheets of viscous fluid. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112076001511
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
