Clustering Analysis of Periodic Point Vortices with the $L$ Function
| dc.creator | Umeki, Makoto | |
| dc.date | 2006-08-28 | |
| dc.date | 2007-03-01 | |
| dc.date.accessioned | 2026-07-07T07:55:10Z | |
| dc.date.available | 2026-07-07T07:55:10Z | |
| dc.description | A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the $L$ function used in point process theory in spatial ecology. It is shown that clustering persists if it is initially clustered like an infinite row or a checkered pattern. | |
| dc.description | 4 pages, 12 figures, to appear in JPSJ | |
| dc.identifier | https://arxiv.org/abs/physics/0608266 | |
| dc.identifier | http://arxiv.org/abs/physics/0608266 | |
| dc.identifier | JPSJ Vol. 76 No. 4 (2007) p. 043401 | |
| dc.identifier | doi:10.1143/JPSJ.76.043401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126878 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Clustering Analysis of Periodic Point Vortices with the $L$ Function | |
| dc.type | text |