外势异常扩散的从属朗之万方程-偏置力和退耦力
Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces
摘要:
从描述朗之万方程出发,讨论了外力在反常扩散系统中的作用。由于存在不同的可能性来包括外部场的影响,因此引入了{ \it偏置}和{ \it解耦}外部场的概念。补充最近建立的朗之万方程的异常扩散在一个时间相关的外力[{ \it Magdziarz等人,物理修订版信函{ \bf 101},210601(2008)}]导出了解耦含时力场中反常扩散的朗之万公式。
英文摘要:
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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