Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation
By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exact solution of the corresponding non-linear diffusion equation, as well as by particle simulations. The connection betwee...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2021-03-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2021.640560/full |
| _version_ | 1818847109381619712 |
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| author | Eirik G. Flekkøy Eirik G. Flekkøy Alex Hansen Alex Hansen Beatrice Baldelli |
| author_facet | Eirik G. Flekkøy Eirik G. Flekkøy Alex Hansen Alex Hansen Beatrice Baldelli |
| author_sort | Eirik G. Flekkøy |
| collection | DOAJ |
| description | By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exact solution of the corresponding non-linear diffusion equation, as well as by particle simulations. The connection between these levels of description is provided by the Fokker-Planck equation describing the particle dynamics. PACS numbers: |
| first_indexed | 2024-12-19T05:56:13Z |
| format | Article |
| id | doaj.art-e44a9f4b5c8b43b583fbe29e1df061b6 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-19T05:56:13Z |
| publishDate | 2021-03-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-e44a9f4b5c8b43b583fbe29e1df061b62022-12-21T20:33:26ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-03-01910.3389/fphy.2021.640560640560Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion EquationEirik G. Flekkøy0Eirik G. Flekkøy1Alex Hansen2Alex Hansen3Beatrice Baldelli4PoreLab, Department of Physics, University of Oslo, Oslo, NorwayPoreLab, Department of Chemistry, Norwegian University of Science and Technology, Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology, Trondheim, NorwayBeijing Computational Sciences Research Center, CSRC, Beijing, ChinaPoreLab, Department of Physics, University of Oslo, Oslo, NorwayBy means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exact solution of the corresponding non-linear diffusion equation, as well as by particle simulations. The connection between these levels of description is provided by the Fokker-Planck equation describing the particle dynamics. PACS numbers:https://www.frontiersin.org/articles/10.3389/fphy.2021.640560/fullanomalous diffusionconcentration-dependent diffusivitynon-linear diffusion equationbrownian motion (wiener process)random walks |
| spellingShingle | Eirik G. Flekkøy Eirik G. Flekkøy Alex Hansen Alex Hansen Beatrice Baldelli Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation Frontiers in Physics anomalous diffusion concentration-dependent diffusivity non-linear diffusion equation brownian motion (wiener process) random walks |
| title | Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation |
| title_full | Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation |
| title_fullStr | Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation |
| title_full_unstemmed | Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation |
| title_short | Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation |
| title_sort | hyperballistic superdiffusion and explosive solutions to the non linear diffusion equation |
| topic | anomalous diffusion concentration-dependent diffusivity non-linear diffusion equation brownian motion (wiener process) random walks |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2021.640560/full |
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