2 papers
cond-mat.stat-mech2020
Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation
Eirik G. Flekkøy, Alex Hansen, Beatrice Baldelli
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 exac…
cond-mat.stat-mech2019
Anomalous Diffusion in Systems with Concentration-Dependent Diffusivity
Alex Hansen, Eirik G. Flekkøy
We show analytically that there is anomalous diffusion when the diffusion constant depends on the concentration as a power law with a positive exponent or a negative exponent with…