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http://hdl.handle.net/2445/158844
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DC Field | Value | Language |
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dc.contributor.author | Masoliver, Jaume, 1951- | - |
dc.contributor.author | Lindenberg, Katja | - |
dc.date.accessioned | 2020-05-06T10:39:46Z | - |
dc.date.available | 2020-05-06T10:39:46Z | - |
dc.date.issued | 2020-01-31 | - |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://hdl.handle.net/2445/158844 | - |
dc.description.abstract | We study the planar motion of telegraphic processes. We derive the two-dimensional telegrapher's equation for isotropic and uniform motions starting from a random walk model which is the two-dimensional version of the multistate random walk with a continuum number of states representing the spatial directions. We generalize the isotropic model and the telegrapher's equation to include planar fractional motions. Earlier, we worked with the one-dimensional version [Masoliver, Phys. Rev. E 93, 052107 (2016)] and derived the three-dimensional version [Masoliver, Phys. Rev. E 96, 022101 (2017)]. An important lesson is that we cannot obtain the two-dimensional version from the three-dimensional or the one-dimensional one from the two-dimensional result. Each dimension must be approached starting from an appropriate random walk model for that dimension. | - |
dc.format.extent | 9 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Physical Society | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevE.101.012137 | - |
dc.relation.ispartof | Physical Review E, 2020, vol. 101, num. 1, p. 012137-1-012137-9 | - |
dc.relation.uri | https://doi.org/10.1103/PhysRevE.101.012137 | - |
dc.rights | (c) American Physical Society, 2020 | - |
dc.source | Articles publicats en revistes (Física de la Matèria Condensada) | - |
dc.subject.classification | Difusió | - |
dc.subject.classification | Rutes aleatòries (Matemàtica) | - |
dc.subject.classification | Física estadística | - |
dc.subject.other | Diffusion | - |
dc.subject.other | Random walks (Mathematics) | - |
dc.subject.other | Statistical physics | - |
dc.title | Two-dimensional telegraphic processes and their fractional generalization | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 699281 | - |
dc.date.updated | 2020-05-06T10:39:47Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
Files in This Item:
File | Description | Size | Format | |
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699281.pdf | 302.8 kB | Adobe PDF | View/Open |
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