Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges
American Journal of Modern Physics
Volume 6, Issue 5, September 2017, Pages: 81-87
Received: Jun. 30, 2017; Accepted: Jul. 11, 2017; Published: Jul. 31, 2017
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Author
Gurami Tsitsiashvili, Institute for Applied Mathematics FEB RAS, Vladivostok, Russia
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Abstract
V. V. Uchaikin suggested a mathematical model of an anomalous diffusion in a space. These model origins in an investigation of processes in complex systems with variable structure: glasses, liquid crystals, biopolymers, proteins and a turbulence in a plasma. Here a coordinate of diffusing particle has stable distribution and so its density satisfies diffusion equation with partial derivatives. In this paper, the anomalous diffusion with periodic initial conditions on an interval with reflecting edges, important for example in technical mechanics, is considered and analyzed.
Keywords
Anomalous Diffusion, Reflecting Edges, Partial Derivatives
To cite this article
Gurami Tsitsiashvili, Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges, American Journal of Modern Physics. Vol. 6, No. 5, 2017, pp. 81-87. doi: 10.11648/j.ajmp.20170605.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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