Accelerating solutions to the 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.

Cited by in corpus (2)

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