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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Gurami Tsitsiashvili, Institute for Applied Mathematics FEB RAS, Vladivostok, Russia
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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.
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
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