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 μ m after short-time normal diffusion turn over to perfo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/4/045011 |
| _version_ | 1797751669767798784 |
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| author | Jae-Hyung Jeon Natascha Leijnse Lene B Oddershede Ralf Metzler |
| author_facet | Jae-Hyung Jeon Natascha Leijnse Lene B Oddershede Ralf Metzler |
| author_sort | Jae-Hyung Jeon |
| collection | DOAJ |
| description | 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 μ m after short-time normal diffusion turn over to perform anomalous diffusion of the form 〈 r ^2 ( t )〉 ≃ t ^α with α ≈ 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. |
| first_indexed | 2024-03-12T16:51:54Z |
| format | Article |
| id | doaj.art-b90d814779864cdbb9573b000dcba835 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:54Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-b90d814779864cdbb9573b000dcba8352023-08-08T11:08:10ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115404501110.1088/1367-2630/15/4/045011Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutionsJae-Hyung Jeon0Natascha Leijnse1Lene B Oddershede2Ralf Metzler3Department of Physics, Tampere University of Technology , 33101 Tampere, FinlandNiels Bohr Institute, University of Copenhagen , 2100 København Ø, DenmarkNiels Bohr Institute, University of Copenhagen , 2100 København Ø, DenmarkDepartment of Physics, Tampere University of Technology , 33101 Tampere, Finland; Institute for Physics and Astronomy, University of Potsdam , 14476 Potsdam-Golm, GermanyWe 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 μ m after short-time normal diffusion turn over to perform anomalous diffusion of the form 〈 r ^2 ( t )〉 ≃ t ^α with α ≈ 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.https://doi.org/10.1088/1367-2630/15/4/045011 |
| spellingShingle | Jae-Hyung Jeon Natascha Leijnse Lene B Oddershede Ralf Metzler Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions New Journal of Physics |
| title | Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions |
| title_full | Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions |
| title_fullStr | Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions |
| title_full_unstemmed | Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions |
| title_short | Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions |
| title_sort | anomalous diffusion and power law relaxation of the time averaged mean squared displacement in worm like micellar solutions |
| url | https://doi.org/10.1088/1367-2630/15/4/045011 |
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