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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.