KFU. Card publication. Short-time diffusion behavior of Brownian particles in confning potentials

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FEDERAL UNIVERSITY

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SHORT-TIME DIFFUSION BEHAVIOR OF BROWNIAN PARTICLES IN CONFNING POTENTIALS

Form of presentation

Articles in international journals and collections

Year of publication

2016

Язык

английский

Authors, employees of KFU

Fatkullin Nail Fidaievich, author

Other authors

Daniel Schneider Rustem Valiullin3 ., author

Bibliographic description in the original language

Daniel Schneider, Nail Fatkullin, and Rustem Valiullin, Short-time diffusion behavior of Brownian particles in confning potentials, arXiv:1611.07739

Annotation

arXiv:1611.07739

Keywords

diffusion, cohfined, potential

The name of the journal

arXiv:1611.07739

URL

http://arxiv.org/abs/1611.07739

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=126326&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Fatkullin Nail Fidaievich	ru_RU
dc.contributor.author	Daniel Schneider Rustem Valiullin3 .	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Daniel Schneider, Nail Fatkullin, and Rustem Valiullin, Short-time diffusion behavior of Brownian particles in confning potentials, arXiv:1611.07739	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=126326&p_lang=2	ru_RU
dc.description.abstract	arXiv:1611.07739	ru_RU
dc.description.abstract	Diffusion behavior of Brownian particles confned in porous solids is studied for the particle displacements notably shorter than a characteristic pore size. Geometric confnements imposed by the porous solid are described by a spatially-varying potential feld mimicking the pore space organization. It is assumed that the potential is zero in the pore space, infnitely large within the solid, and exhibit a smooth transition between them close to pore walls. The Smoluchowski equation describing diffusion of tracer particles in the thus created external force feld is solved under approximations allowing for a general analytical solution. The result obtained for the time- depended diffusion coefficient is found to agree with that obtained earlier using the Fick's diffusion equation [Mitra et al., Phys. Rev. Lett. 68, 3555 (1992)], but with a different numerical constant. Numerical analyses of the Smoluchovski equation performed with a selected interaction potential between the particles and t	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	diffusion	ru_RU
dc.subject	cohfined	ru_RU
dc.subject	potential	ru_RU
dc.title	Short-time diffusion behavior of Brownian particles in confning potentials	ru_RU
dc.type	Articles in international journals and collections	ru_RU