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arXiv · 2008.12654

Accelerating solutions to the diffusion equation

Felipe A. Asenjo·Sergio A. Hojman
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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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BibTeXRIS

Felipe A. Asenjo, Sergio A. Hojman. 2020-08-27. Accelerating solutions to the diffusion equation. https://doi.org/10.1140/epjp/s13360-021-01663-x

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