Accelerating solutions to diffusion equation

Felipe A. Asenjo; Sergio A. Hojman

doi:10.1140/epjp/s13360-021-01663-x

Accelerating solutions to diffusion equation

Felipe A. Asenjo, Sergio A. Hojman

Facultad de Artes Liberales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.

Idioma original	Inglés
Número de artículo	677
Publicación	European Physical Journal Plus
Volumen	136
N.º	6
DOI	https://doi.org/10.1140/epjp/s13360-021-01663-x
Estado	Publicada - jun. 2021

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title = "Accelerating solutions to diffusion equation",

abstract = "We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.",

author = "Asenjo, {Felipe A.} and Hojman, {Sergio A.}",

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Accelerating solutions to diffusion equation

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