Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation
Statistical Mechanics
2020-12-08 v1
Abstract
By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exact solution of the corresponding non-linear diffusion equation, as well as by particle simulations. The connection between these levels of description is provided by the Fokker-Planck equation describing the particle dynamics.
Cite
@article{arxiv.2012.03748,
title = {Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation},
author = {Eirik G. Flekkøy and Alex Hansen and Beatrice Baldelli},
journal= {arXiv preprint arXiv:2012.03748},
year = {2020}
}
Comments
5 pages, 5 figures