Accelerating solutions to diffusion equation

Felipe A. Asenjo, Sergio A. Hojman

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Article number677
JournalEuropean Physical Journal Plus
Issue number6
StatePublished - Jun 2021


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