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.
| Published in | American Journal of Modern Physics (Volume 6, Issue 5) |
| DOI | 10.11648/j.ajmp.20170605.11 |
| Page(s) | 81-87 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Anomalous Diffusion, Reflecting Edges, Partial Derivatives
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APA Style
Gurami Tsitsiashvili. (2017). Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges. American Journal of Modern Physics, 6(5), 81-87. https://doi.org/10.11648/j.ajmp.20170605.11
ACS Style
Gurami Tsitsiashvili. Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges. Am. J. Mod. Phys. 2017, 6(5), 81-87. doi: 10.11648/j.ajmp.20170605.11
AMA Style
Gurami Tsitsiashvili. Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges. Am J Mod Phys. 2017;6(5):81-87. doi: 10.11648/j.ajmp.20170605.11
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Download@article{10.11648/j.ajmp.20170605.11,
author = {Gurami Tsitsiashvili},
title = {Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges},
journal = {American Journal of Modern Physics},
volume = {6},
number = {5},
pages = {81-87},
doi = {10.11648/j.ajmp.20170605.11},
url = {https://doi.org/10.11648/j.ajmp.20170605.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170605.11},
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.},
year = {2017}
}
TY - JOUR T1 - Characteristic Time of Diffusive Mixing in Cube with Reflecting Edges AU - Gurami Tsitsiashvili Y1 - 2017/07/31 PY - 2017 N1 - https://doi.org/10.11648/j.ajmp.20170605.11 DO - 10.11648/j.ajmp.20170605.11 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 81 EP - 87 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20170605.11 AB - 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. VL - 6 IS - 5 ER -
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