КФУ. Карточка публикации. Short-time diffusion behavior of Brownian particles in confning potentials

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SHORT-TIME DIFFUSION BEHAVIOR OF BROWNIAN PARTICLES IN CONFNING POTENTIALS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Фаткуллин Наиль Фидаиевич, автор

Другие авторы

Daniel Schneider Rustem Valiullin3 ., автор

Библиографическое описание на языке оригинала

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

Аннотация

arXiv:1611.07739

Ключевые слова

diffusion, cohfined, potential

Название журнала

arXiv:1611.07739

URL

http://arxiv.org/abs/1611.07739

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https://repository.kpfu.ru/?p_id=126326

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Фаткуллин Наиль Фидаиевич	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/?p_id=126326	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	Статьи в зарубежных журналах и сборниках	ru_RU