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- W3004080259 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)PREHBM2470-004510.1103/PhysRevE.93.052107] and derived the three-dimensional version [Masoliver, Phys. Rev. E 96, 022101 (2017)PREHBM2470-004510.1103/PhysRevE.96.022101]. 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." @default.
- W3004080259 created "2020-02-07" @default.
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- W3004080259 date "2020-01-31" @default.
- W3004080259 modified "2023-09-27" @default.
- W3004080259 title "Two-dimensional telegraphic processes and their fractional generalizations" @default.
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- W3004080259 doi "https://doi.org/10.1103/physreve.101.012137" @default.
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