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Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation

dc.contributor.authorFlekkøy, Eirik Grude
dc.contributor.authorHansen, Alex
dc.contributor.authorBaldelli, Beatrice
dc.date.accessioned2021-03-18T07:10:15Z
dc.date.available2021-03-18T07:10:15Z
dc.date.created2021-03-17T08:33:47Z
dc.date.issued2021
dc.identifier.citationFrontiers in Physics. 2021, 9, .en_US
dc.identifier.issn2296-424X
dc.identifier.urihttps://hdl.handle.net/11250/2734030
dc.description.abstractBy 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 finding 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.en_US
dc.language.isoengen_US
dc.publisherFrontiers Mediaen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.subjectDiffusjonen_US
dc.subjectDiffusionen_US
dc.titleHyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equationen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.volume9en_US
dc.source.journalFrontiers in Physicsen_US
dc.identifier.doi10.3389/fphy.2021.640560
dc.identifier.cristin1898521
dc.relation.projectNorges forskningsråd: 262644en_US
dc.description.localcodeCopyright © 2021 Flekkøy, Hansen and Baldelli. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.en_US
dc.source.articlenumber640560en_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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