Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation

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 betwee...

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Bibliographic Details
Published in:	Frontiers in Physics
Main Authors:	Eirik G. Flekkøy, Alex Hansen, Beatrice Baldelli
Format:	Article
Language:	English
Published:	Frontiers Media S.A. 2021-03-01
Subjects:	anomalous diffusion concentration-dependent diffusivity non-linear diffusion equation brownian motion (wiener process) random walks
Online Access:	https://www.frontiersin.org/articles/10.3389/fphy.2021.640560/full

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