Three-dimensional telegrapher's equation and its fractional generalization
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 an...
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| Tipo de documento: | Artículo |
| Estado: | Published version |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/120728 |
| Acceso en línea: | https://hdl.handle.net/2445/120728 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Rutes aleatòries (Matemàtica) Equació d'ona Física estadística Teoria del transport Random walks (Mathematics) Wave equation Statistical physics Transport theory |
| Sumario: | 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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