Telegraphic transport processes and their fractional generalization: a review and some extensions

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...

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Detalles Bibliográficos
Autor: Masoliver, Jaume, 1951-
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/176865
Acceso en línea:https://hdl.handle.net/2445/176865
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Rutes aleatòries (Matemàtica)
Statistical physics
Thermodynamics
Random walks (Mathematics)
Descripción
Sumario: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.