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Title: Two-dimensional telegraphic processes and their fractional generalization
Author: Masoliver, Jaume, 1951-
Lindenberg, Katja
Keywords: Difusió
Rutes aleatòries (Matemàtica)
Física estadística
Random walks (Mathematics)
Statistical physics
Issue Date: 31-Jan-2020
Publisher: American Physical Society
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.
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It is part of: Physical Review E, 2020, vol. 101, num. 1, p. 012137-1-012137-9
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ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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