Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces

Details Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces

2009-02-17

arxiv.org/abs/0902.2936v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it biasing} and {\it decoupled} external fields is introduced. Complementary to the recently established Langevin equations for anomalous diffusion in a time-dependent external force-field [{\it Magdziarz et al., Phys. Rev. Lett. {\bf 101}, 210601 (2008)}] the Langevin formulation of anomalous diffusion in a decoupled time-dependent force-field is derived.

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