Universality in edge-source diffusion dynamics
| dc.creator | Mortensen, N. A. | |
| dc.creator | Okkels, F. | |
| dc.creator | Bruus, H. | |
| dc.date | 2005-10-24 | |
| dc.date | 2005-12-22 | |
| dc.date.accessioned | 2026-07-07T06:45:27Z | |
| dc.date.available | 2026-07-07T06:45:27Z | |
| dc.description | We show that in edge-source diffusion dynamics the integrated concentration N(t) has a universal dependence with a characteristic time-scale tau=(A/P)^2 pi/(4D), where D is the diffusion constant while A and P are the cross-sectional area and perimeter of the domain, respectively. For the short-time dynamics we find a universal square-root asymptotic dependence N(t)=N0 sqrt(t/tau) while in the long-time dynamics N(t) saturates exponentially at N0. The exponential saturation is a general feature while the associated coefficients are weakly geometry dependent. | |
| dc.description | 4 pages including 4 figures. Minor changes. Accepted for PRE | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0510627 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0510627 | |
| dc.identifier | Phys. Rev. E 73, 012101 (2006). | |
| dc.identifier | doi:10.1103/PhysRevE.73.012101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103046 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Classical Physics | |
| dc.title | Universality in edge-source diffusion dynamics | |
| dc.type | text |