We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external fields. We calculate the corresponding response functions explicitly. The CTRW curve exhibits aging, i.e., it is not translationally invariant in the time domain. This is different from what happens under fractional Fokker-Planck conditions.
|Number of pages||11|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 15 Dec 2001|
|Event||International Workshop on Frontiers in the Physics of Complex Systems - Ramat-Gan, Israel|
Duration: 25 Mar 2001 → 28 Mar 2001
- Continuous-time random walks
- Fractional Flokker-Planck equation