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电报传输过程及其分数阶推广:综述与一些扩展

Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions.

作者信息

Masoliver Jaume

机构信息

Department of Condensed Matter Physics and Complex Systems Institute (UBICS), University of Barcelona, 08007 Barcelona, Catalonia, Spain.

出版信息

Entropy (Basel). 2021 Mar 18;23(3):364. doi: 10.3390/e23030364.

Abstract

We address the problem of telegraphic transport in several dimensions. We review the derivation of two and three dimensional telegrapher's equations-as well as their fractional generalizations-from microscopic random walk models for transport (normal and anomalous). We also present new results on solutions of the higher dimensional fractional equations.

摘要

我们研究了多个维度下的电报传输问题。我们回顾了二维和三维电报方程的推导过程,以及它们从微观随机游走传输模型(正常和反常)得出的分数阶推广形式。我们还给出了高维分数阶方程解的新结果。

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Infinite densities for Lévy walks.列维游走的无限密度。
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062135. doi: 10.1103/PhysRevE.90.062135. Epub 2014 Dec 23.
7
Growth and dispersal with inertia: hyperbolic reaction-transport systems.具有惯性的生长与扩散:双曲型反应输运系统
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042114. doi: 10.1103/PhysRevE.90.042114. Epub 2014 Oct 7.
8
Diffusion of light in turbid material.光在浑浊物质中的扩散。
Appl Opt. 1989 Jun 15;28(12):2210-5. doi: 10.1364/AO.28.002210.
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Stochastic process leading to wave equations in dimensions higher than one.导致高于一维波动方程的随机过程。
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 1):021113. doi: 10.1103/PhysRevE.81.021113. Epub 2010 Feb 5.
10
Mesoscopic derivation of hyperbolic transport equations.双曲输运方程的介观推导
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Oct;50(4):2451-2457. doi: 10.1103/physreve.50.2451.

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