Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation
Peer reviewed, Journal article
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Original versionFrontiers in Physics. 2021, 9, . 10.3389/fphy.2021.640560
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 finding 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.