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Título:
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Fractional telegrapher's equation from fractional persistent random walks
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Autor/a:
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Masoliver, Jaume, 1951-
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Otros autores:
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Universitat de Barcelona |
Abstract:
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We generalize the telegrapher's equation to allow for anomalous transport. We derive the space-time fractional telegrapher's equation using the formalism of the persistent random walk in continuous time. We also obtain the characteristic function of the space-time fractional process and study some particular cases and asymptotic approximations. Similarly to the ordinary telegrapher's equation, the time-fractional equation also presents distinct behaviors for different time scales. Specifically, transitions between different subdiffusive regimes or from superdiffusion to subdiffusion are shown by the fractional equation as time progresses |
Materia(s):
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-Processos estocàstics -Equacions diferencials lineals -Stochastic processes -Linear differential equations |
Derechos:
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(c) American Physical Society, 2016
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Tipo de documento:
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Artículo Artículo - Versión publicada |
Editor:
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American Physical Society
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