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2020-06-22Zeitschriftenartikel DOI: 10.18452/24388
Brownian yet non-Gaussian diffusion in heterogeneous media: from superstatistics to homogenization
dc.contributor.authorPostnikov, Eugene
dc.contributor.authorChechkin, Aleksei
dc.contributor.authorSokolov, Igor M.
dc.date.accessioned2022-03-25T15:07:12Z
dc.date.available2022-03-25T15:07:12Z
dc.date.issued2020-06-22none
dc.date.updated2022-02-11T19:08:22Z
dc.identifier.urihttp://edoc.hu-berlin.de/18452/25045
dc.description.abstractWe discuss the situations under which Brownian yet non-Gaussian (BnG) diffusion can be observed in the model of a particle’s motion in a random landscape of diffusion coefficients slowly varying in space (quenched disorder). Our conclusion is that such behavior is extremely unlikely in the situations when the particles, introduced into the system at random at t = 0, are observed from the preparation of the system on. However, it indeed may arise in the case when the diffusion (as described in Ito interpretation) is observed under equilibrated conditions. This paradigmatic situation can be translated into the model of the diffusion coefficient fluctuating in time along a trajectory, i.e. into a kind of the ‘diffusing diffusivity’ model.eng
dc.description.sponsorshipRussian Science Foundation https://doi.org/10.13039/501100006769
dc.description.sponsorshipDeutsche Forschungsgemeinschaft https://doi.org/10.13039/501100001659
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectdiffusing diffusivityeng
dc.subjectBrownian yet non-Gaussian diffusioneng
dc.subjectposition-dependent diffusion coefficienteng
dc.subjectsuperstatisticseng
dc.subjecthomogenizationeng
dc.subject.ddc530 Physiknone
dc.titleBrownian yet non-Gaussian diffusion in heterogeneous media: from superstatistics to homogenizationnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/25045-0
dc.identifier.doihttp://dx.doi.org/10.18452/24388
dc.type.versionpublishedVersionnone
local.edoc.pages17none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1367-2630
dcterms.bibliographicCitation.doi10.1088/1367-2630/ab90danone
dcterms.bibliographicCitation.journaltitleNew journal of physics : the open-access journal for physicsnone
dcterms.bibliographicCitation.volume22none
dcterms.bibliographicCitation.issue6none
dcterms.bibliographicCitation.articlenumber063046none
dcterms.bibliographicCitation.originalpublishernameIOPnone
dcterms.bibliographicCitation.originalpublisherplace[London]none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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