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

Author:

Flekkøy Eirik G.,Hansen Alex,Baldelli Beatrice

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. PACS numbers:

Funder

Universitetet i Oslo

Publisher

Frontiers Media SA

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics,Materials Science (miscellaneous),Biophysics

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