no code implementations • 5 Oct 2020 • Raviteja Vangara, Kim Ø. Rasmussen, Dimiter N. Petsev, Golan Bel, Boian S. Alexandrov
Fractional Brownian motion (fBm) is a ubiquitous diffusion process in which the memory effects of the stochastic transport result in the mean squared particle displacement following a power law, $\langle {\Delta r}^2 \rangle \sim t^{\alpha}$, where the diffusion exponent $\alpha$ characterizes whether the transport is subdiffusive, ($\alpha<1$), diffusive ($\alpha = 1$), or superdiffusive, ($\alpha >1$).
