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

Faculty of Liberal Arts

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	677
Journal	European Physical Journal Plus
Volume	136
Issue number	6
DOIs	https://doi.org/10.1140/epjp/s13360-021-01663-x
State	Published - 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.",

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AB - 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.

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JO - European Physical Journal Plus

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Accelerating solutions to diffusion equation

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