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Temperature-Abnormal Diffusivity in underdamped spatially periodic systems

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Abstract

A theoretical model of temperature-anomalous diffusion has been developed on the basis of computer calculation results. It has been shown that the behavior of diffusion in underdamped spatially periodic systems is anomalous in a certain force range: the diffusivity increases unlimitedly with a decrease in the temperature. Analytical expressions have been found for the width and position of this range depending on the friction coefficient and other parameters of the system. Scaling dependences of the diffusivity and mobility of particles on the friction coefficient have been obtained.

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Authors and Affiliations

  1. National Science Center Kharkov Institute of Physics and Technology, Kharkiv, 61108, Ukraine

    I. G. Marchenko & V. I. Tkachenko

  2. Karazin Kharkiv National University, Kharkiv, 61022, Ukraine

    I. G. Marchenko & V. I. Tkachenko

  3. National Technical University Kharkiv Polytechnic Institute, Kharkiv, 61002, Ukraine

    I. I. Marchenko

Authors
  1. I. G. Marchenko
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  2. I. I. Marchenko
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  3. V. I. Tkachenko
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Correspondence to I. G. Marchenko.

Additional information

Original Russian Text © I.G. Marchenko, I.I. Marchenko, V.I. Tkachenko, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 106, No. 4, pp. 222–226.

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Marchenko, I.G., Marchenko, I.I. & Tkachenko, V.I. Temperature-Abnormal Diffusivity in underdamped spatially periodic systems. Jetp Lett. 106, 242–246 (2017). https://doi.org/10.1134/S002136401716010X

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  • DOI: https://doi.org/10.1134/S002136401716010X

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