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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2015, Volume 102, Issue 4, Pages 275–280
DOI: https://doi.org/10.7868/S0370274X15160110 (Mi jetpl4712) 		 
This article is cited in 10 scientific papers (total in 10 papers)

METHODS OF THEORETICAL PHYSICS

Analytical representation of the relations of inertial diffusion transport

V. M. Rozenbauma, I. V. Shapochkinab

a Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, ul. generala Naumova 17, Kyiv, 03164, Ukraine
b Faculty of Physics, Belarusian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus
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DOI: https://doi.org/10.7868/S0370274X15160110
Abstract: A generalized approach has been proposed to describe the diffusive transport of inertial particles at which the known inertialess relations (in particular, between the concentration of particles and the corresponding flux) are supplemented by a factor allowing the calculation of inertial effects in terms of the matrix continued fraction method. The advantage of this approach, which is in the analytical representation of the results, is illustrated by solving the problem of the determination of the effective diffusion coefficient of an inertial particle in a sawtooth potential and the average velocity of the adiabatic inertial ratchet. The character of the nonanalytic behavior of these quantities in the presence of large gradients of the potential has been established.
Received: 25.05.2015
Revised: 08.07.2015
English version:
Journal of Experimental and Theoretical Physics Letters, 2015, Volume 102, Issue 4, Pages 248–253
DOI: https://doi.org/10.1134/S0021364015160110
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Rozenbaum, I. V. Shapochkina, “Analytical representation of the relations of inertial diffusion transport”, Pis'ma v Zh. Èksper. Teoret. Fiz., 102:4 (2015), 275–280; JETP Letters, 102:4 (2015), 248–253
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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