Accelerating solutions to the diffusion equation
Statistical Mechanics
2021-06-29 v2
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.
Cite
@article{arxiv.2008.12654,
title = {Accelerating solutions to the diffusion equation},
author = {Felipe A. Asenjo and Sergio A. Hojman},
journal= {arXiv preprint arXiv:2008.12654},
year = {2021}
}