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Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions

  • We report the results of single tracer particle tracking by optical tweezers and video microscopy in micellar solutions. From careful analysis in terms of different stochastic models, we show that the polystyrene tracer beads of size 0.52-2.5 mu m after short-time normal diffusion turn over to perform anomalous diffusion of the form < r(2)(t)> similar or equal to t(alpha) with alpha approximate to 0.3. This free anomalous diffusion is ergodic and consistent with a description in terms of the generalized Langevin equation with a power-law memory kernel. With optical tweezers tracking, we unveil a power-law relaxation over several decades in time to the thermal plateau value under the confinement of the harmonic tweezer potential, as predicted previously (Phys. Rev. E 85 021147 (2012)). After the subdiffusive motion in the millisecond range, the motion becomes faster and turns either back to normal Brownian diffusion or to even faster superdiffusion, depending on the size of the tracer beads.

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Author:Jae-Hyung Jeon, Natascha Leijnse, Lene B. Oddershede, Ralf MetzlerORCiDGND
ISSN:1367-2630 (print)
Parent Title (English):New journal of physics : the open-access journal for physics
Publisher:IOP Publ. Ltd.
Place of publication:Bristol
Document Type:Article
Year of first Publication:2013
Year of Completion:2013
Release Date:2017/03/26
Funder:Lundbeck Foundation Center for Biomembranes in Nanomedicine (CBN); Academy of Finland within the Finland Distinguished Professor (FiDiPro) programme
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Publication Way:Open Access