Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation

2020/12/03 by Flekkøy, Eirik G., Hansen, Alex, Baldelli, Beatrice · 2 citations
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2012.03748

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.

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