Modeling of subdiffusion in space-time-dependent force fields beyond the fractional Fokker-Planck equation.
In this paper we attack the challenging problem of modeling subdiffusion with an arbitrary space-time-dependent driving. Our method is based on a combination of the Langevin-type dynamics with subordination techniques. For the case of a purely time-dependent force, we recover the death of linear response and field-induced dispersion -- two significant physical properties well-known from the studies based on the fractional Fokker-Planck equation. However, our approach allows us to study subdiffusive dynamics without referring to this equation.
Hugo Steinhaus Center, Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wroclaw, Poland. aleksander.weron@pwr.wroc.pl
Aleksander
A
Weron
Marcin
M
Magdziarz
Karina
K
Weron