| Issue |
Europhys. Lett.
Volume 56, Number 1, October 2001
|
|
|---|---|---|
| Page(s) | 15 - 21 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00480-8 | |
| Published online | 01 December 2003 | |
Anomalous motion of membranes under a localized external potential
1
Department of Materials and Interfaces, Weizmann Institute of Science Rehovot
76100, Israel
2
School of Chemistry, Tel-Aviv University - Tel-Aviv 69978, Israel
Received:
3
May
2001
Accepted:
12
July
2001
We investigate the relaxation and autocorrelation function of a particle attached to a membrane under the combined influence of an external potential and of the thermal undulations provided by the membrane. For a harmonic external potential the mean relaxation is given by the Mittag-Leffler decay function, while the autocorrelation, although closely related to the Mittag-Leffler behaviour, displays a more complex pattern. Relationship to experiments using optical tweezers is discussed.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 83.10.-y – Rheology: Fundamentals and general / 68.05.-n – Liquid-liquid interfaces
© EDP Sciences, 2001
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