| Issue |
Europhys. Lett.
Volume 63, Number 2, July 2003
|
|
|---|---|---|
| Page(s) | 186 - 192 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00521-4 | |
| Published online | 01 November 2003 | |
Temporal diffusion
Center for Nonlinear Phenomena and Complex
Systems, Université Libre de Bruxelles 1050 Bruxelles, Belgium
Corresponding author: jpboon@ulb.ac.be
Received:
21
February
2003
Accepted:
19
May
2003
We consider the general problem of the first-passage distribution of particles whose displacements are subject to time delays. We show that this problem gives rise to a propagation-dispersion equation which is obtained as the large-distance (hydrodynamic) limit of the exact microscopic first-visit equation. The propagation-dispersion equation should be contrasted with the advection-diffusion equation as the roles of space and time are reversed, hence the name temporal diffusion, which is a generic behavior encountered in an important class of systems.
PACS: 05.60.-k – Transport processes / 02.50.Ey – Stochastic processes / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.