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 on so...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-03-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/3/364 |
| _version_ | 1827697308430499840 |
|---|---|
| author | Jaume Masoliver |
| author_facet | Jaume Masoliver |
| author_sort | Jaume Masoliver |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T13:07:16Z |
| format | Article |
| id | doaj.art-e496199c3dc64546b042f66a76893947 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T13:07:16Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e496199c3dc64546b042f66a768939472023-11-21T11:05:54ZengMDPI AGEntropy1099-43002021-03-0123336410.3390/e23030364Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some ExtensionsJaume Masoliver0Department of Condensed Matter Physics and Complex Systems Institute (UBICS), University of Barcelona, 08007 Barcelona, Catalonia, SpainWe 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.https://www.mdpi.com/1099-4300/23/3/364telegrapher’s equationsfractional telegrapher’s equationcontinuous time random walktransport problems |
| spellingShingle | Jaume Masoliver Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions Entropy telegrapher’s equations fractional telegrapher’s equation continuous time random walk transport problems |
| title | Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| title_full | Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| title_fullStr | Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| title_full_unstemmed | Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| title_short | Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| title_sort | telegraphic transport processes and their fractional generalization a review and some extensions |
| topic | telegrapher’s equations fractional telegrapher’s equation continuous time random walk transport problems |
| url | https://www.mdpi.com/1099-4300/23/3/364 |
| work_keys_str_mv | AT jaumemasoliver telegraphictransportprocessesandtheirfractionalgeneralizationareviewandsomeextensions |