Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Stochastic processes, brownian motion, and transport
DY 7.9: Vortrag
Dienstag, 23. März 2010, 11:45–12:00, H46
Langevin description of subordinated Brownian motion in the presence of external potentials — •Stephan Eule1 and Rudolf Friedrich2 — 1Max-Planck-Institut fuer Dynamik und Selbstorganisation, Goettingen — 2Institut fuer Theoretische Physik, Westfaelische-Wilhelms-Universitaet Muenster
The role of external forces in systems exhibiting anomalous diffusion is discussed within the framework of Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of biasing and decoupled external fields is introduced. This leads to two different forms of time-fractional Fokker-Planck equations. Complementary to the established Langevin equations for subordinated Brownian motion in a time-dependent external force-field by Magdziarz et al. the Langevin formulation of anomalous diffusion in a decoupled time-dependent force-field is derived.