Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection
We analyse the transport of diffusive particles that switch between mobile and immobile states with finite rates. We focus on the effect of advection on the density functions and mean squared displacements (MSDs). At relevant intermediate time scales we find strong anomalous diffusion with cubic sca...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/acd950 |
| _version_ | 1797748666648231936 |
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| author | Timo J Doerries Ralf Metzler Aleksei V Chechkin |
| author_facet | Timo J Doerries Ralf Metzler Aleksei V Chechkin |
| author_sort | Timo J Doerries |
| collection | DOAJ |
| description | We analyse the transport of diffusive particles that switch between mobile and immobile states with finite rates. We focus on the effect of advection on the density functions and mean squared displacements (MSDs). At relevant intermediate time scales we find strong anomalous diffusion with cubic scaling in time of the MSD for high Péclet numbers. The cubic scaling exists for short and long mean residence times in the immobile state $\tau_\mathrm{im}$ . For long $\tau_\mathrm{im}$ the plateau in the MSD at intermediate times, previously found in the absence of advection, also exists for high Péclet numbers. Initially immobile tracers are subject to the newly observed regime of advection induced subdiffusion for short immobilisations and high Péclet numbers. In the long-time limit the effective advection velocity is reduced compared to advection in the mobile phase. In contrast, the MSD is enhanced by advection. We explore physical mechanisms behind the emerging non-Gaussian density functions and the features of the MSD. |
| first_indexed | 2024-03-12T16:09:02Z |
| format | Article |
| id | doaj.art-f475fbd855174476b11fe3889dd2774d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:09:02Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f475fbd855174476b11fe3889dd2774d2023-08-09T14:15:42ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125606300910.1088/1367-2630/acd950Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advectionTimo J Doerries0Ralf Metzler1https://orcid.org/0000-0002-6013-7020Aleksei V Chechkin2https://orcid.org/0000-0002-3803-1174Institute of Physics & Astronomy, University of Potsdam , 14476 Potsdam, GermanyInstitute of Physics & Astronomy, University of Potsdam , 14476 Potsdam, Germany; Asia Pacific Centre for Theoretical Physics , Pohang 37673, Republic of KoreaInstitute of Physics & Astronomy, University of Potsdam , 14476 Potsdam, Germany; Faculty of Pure and Applied Mathematics, Hugo Steinhaus Centre, Wrocław University of Science and Technology , Wyspianskiego 27, 50-370 Wrocław, Poland; Akhiezer Institute for Theoretical Physics , 61108 Kharkov, UkraineWe analyse the transport of diffusive particles that switch between mobile and immobile states with finite rates. We focus on the effect of advection on the density functions and mean squared displacements (MSDs). At relevant intermediate time scales we find strong anomalous diffusion with cubic scaling in time of the MSD for high Péclet numbers. The cubic scaling exists for short and long mean residence times in the immobile state $\tau_\mathrm{im}$ . For long $\tau_\mathrm{im}$ the plateau in the MSD at intermediate times, previously found in the absence of advection, also exists for high Péclet numbers. Initially immobile tracers are subject to the newly observed regime of advection induced subdiffusion for short immobilisations and high Péclet numbers. In the long-time limit the effective advection velocity is reduced compared to advection in the mobile phase. In contrast, the MSD is enhanced by advection. We explore physical mechanisms behind the emerging non-Gaussian density functions and the features of the MSD.https://doi.org/10.1088/1367-2630/acd950diffusiondrift/advectionnon-Gaussianity |
| spellingShingle | Timo J Doerries Ralf Metzler Aleksei V Chechkin Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection New Journal of Physics diffusion drift/advection non-Gaussianity |
| title | Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection |
| title_full | Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection |
| title_fullStr | Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection |
| title_full_unstemmed | Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection |
| title_short | Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection |
| title_sort | emergent anomalous transport and non gaussianity in a simple mobile immobile model the role of advection |
| topic | diffusion drift/advection non-Gaussianity |
| url | https://doi.org/10.1088/1367-2630/acd950 |
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