We discuss two models for the description of anomalous diffusion, these being the continuous time random walk scheme, and fractional diffusion equations. We show their interrelations, and combine both approaches for the description of anomalous transport in constant external velocity and force fields. For an arbitrary external force F(x), we introduce a fractional Fokker-Planck equation, which generalises the two Einstein relations.
|Number of pages||8|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 15 Apr 1999|
|Event||Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger|
Duration: 14 Jul 1998 → 17 Jul 1998