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2017-08-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/120728

Three-dimensional telegrapher's equation and its fractional generalization

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https://doi.org/10.1103/PhysRevE.96.022101

Abstract

We derive the three-dimensional telegrapher's equation out of a random walk model. The model is a threedimensional version of the multistate random walk where the number of different states form a continuum representing the spatial directions that the walker can take. We set the general equations and solve them for isotropic and uniform walks which finally allows us to obtain the telegrapher's equation in three dimensions. We generalize the isotropic model and the telegrapher's equation to include fractional anomalous transport in three dimensions.

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Rutes aleatòries (Matemàtica), Equació d'ona, Física estadística, Teoria del transport

Subject (English)

Random walks (Mathematics), Wave equation, Statistical physics, Transport theory

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Articles publicats en revistes (Física de la Matèria Condensada)

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MASOLIVER, Jaume. Three-dimensional telegrapher's equation and its fractional generalization. Physical Review E. 2017. Vol. 96, num. 022101. ISSN 1539-3755. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/120728

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