Current and universal scaling in anomalous transport
- Anomalous transport in tilted periodic potentials is investigated within the framework of the fractional Fokker-Planck dynamics and the underlying continuous time random walk. The analytical solution for the stationary, anomalous current is obtained in closed form. We derive a universal scaling law for anomalous diffusion occurring in tilted periodic potentials. This scaling relation is corroborated with precise numerical studies covering wide parameter regimes and different shapes for the periodic potential, being either symmetric or ratchet-like ones.
| Author: | Igor GoychukORCiDGND, E. Heinsalu, Marco Patriarca, Gerhard SchmidGND, Peter HänggiORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-2659 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/331 |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2006/08/31 |
| Tag: | diffusion; Fokker-Planck equation; random processes |
| GND-Keyword: | Diffusion; Fokker-Planck-Prozess; Irrfahrtsproblem |
| Source: | erschienen in: Phys. Rev. E 73, 020101 (2006); DOI: 10.1103/PhysRevE.73.020101; URL: http://link.aps.org/abstract/PRE/v73/e020101 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
