Temperature-Abnormal Diffusivity in underdamped spatially periodic systems


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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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I. Marchenko

National Science Center Kharkov Institute of Physics and Technology; Karazin Kharkiv National University

编辑信件的主要联系方式.
Email: march@kipt.kharkov.ua
乌克兰, Kharkiv, 61108; Kharkiv, 61022

I. Marchenko

National Technical University Kharkiv Polytechnic Institute

Email: march@kipt.kharkov.ua
乌克兰, Kharkiv, 61002

V. Tkachenko

National Science Center Kharkov Institute of Physics and Technology; Karazin Kharkiv National University

Email: march@kipt.kharkov.ua
乌克兰, Kharkiv, 61108; Kharkiv, 61022

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