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Short-time diffusion behavior of Brownian particles in porous solids

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dc.contributor.author Fatkullin N.
dc.contributor.author Valiullin R.
dc.date.accessioned 2018-09-18T20:36:01Z
dc.date.available 2018-09-18T20:36:01Z
dc.date.issued 2014
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/141558
dc.description.abstract © Kazan Federal University (KFU). The process of self-diffusion of particles confined to porous solids is studied for time intervals corresponding to particle displacements shorter than the characteristic pore size. The solid matrix is modeled as a (random) potential field with an infinitely large potential within the solid which decays to zero at distances of the order of a few particle sizes from the pore walls. Diffusion of particles in the thus created potential field is described by the Smoluchowski diffusion equation. It is shown that, for short diffusion times, the resulting equation for the time-depended diffusivity reproduces that earlier obtained in the literature [Mitra et al., Phys. Rev. Lett. 68, 3555 (1992)], but with the numerical constant differing by factor 2. The conditions under which this discrepancy arises are highlighted and discussed.
dc.subject Diffusion
dc.subject Porous solids
dc.subject Short-time expansion
dc.subject Smoluchowski equation
dc.title Short-time diffusion behavior of Brownian particles in porous solids
dc.type Article
dc.relation.ispartofseries-volume 16
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS-2014-16-SID84925356678

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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