Anomalous motion of membranes under a localized external potential
Department of Materials and Interfaces, Weizmann Institute of Science Rehovot
2 School of Chemistry, Tel-Aviv University - Tel-Aviv 69978, Israel
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