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Diffusion in a tube consisting of alternating wide and narrow sections

  • Macrokinetics of Complex Physicochemical Phenomena
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Abstract

The problem of the diffusion of particles in a tube consisting of identical units, each composed of a wide and narrow section is solved. With an approach based on reducing the problem to a one-dimensional, the statistics of times of particle transition between adjacent sections is determined, which is a detailed characteristic of the diffusion process. An expression for the effective diffusion coefficient D ef , defining the slow-down of transport due to variations of the tube profile, is derived. It is shown that D ef behaves monotonically with increasing length of both the narrow and wide sections. The predictions of analytical formulas are in good agreement with the results of computer simulation performed by the Brownian dynamics method.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. E. Antipov

  2. Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Moscow, Russia

    Yu. A. Makhnovskii

  3. Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, Russia

    V. Yu. Zitserman

  4. Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, Russia

    S. M. Aldoshin

Authors
  1. A. E. Antipov
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  2. Yu. A. Makhnovskii
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  3. V. Yu. Zitserman
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  4. S. M. Aldoshin
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Corresponding author

Correspondence to A. E. Antipov.

Additional information

Original Russian Text © A.E. Antipov, Yu.A. Makhnovskii, V.Yu. Zitserman, S.M. Aldoshin, 2014, published in Khimicheskaya Fizika, 2014, Vol. 33, No. 9, pp. 78–86.

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Antipov, A.E., Makhnovskii, Y.A., Zitserman, V.Y. et al. Diffusion in a tube consisting of alternating wide and narrow sections. Russ. J. Phys. Chem. B 8, 752–759 (2014). https://doi.org/10.1134/S1990793114050030

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  • DOI: https://doi.org/10.1134/S1990793114050030

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