Equivalence of the fractional Fokker-Planck and subordinated Langevin equations
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If you have a question about this talk, please contact Christian Franzke.
Open to non-BAS; please contact Christian Franzke (chan1 (at) bas.ac.uk) if you would like to attend.
We introduce a Langevin-type approach to modeling of anomalous diffusion
in time-dependent force fields. Using the subordination technique and
the theory of Lévy processes, we construct rigorously a stochastic
process, which is equivalent to the fractional Fokker-Planck equation
with time-dependent force. Our model provides good physical insight
through the trajectories. Moreover, it allows to study different
anomalous diffusion processe both analytically and numerically.
Moreover, the model can be easily extended to the general case of
space-time dependent forces.
This talk is part of the British Antarctic Survey series.
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