Trapped slender vortex filaments in statistical equilibrium
| dc.creator | Andersen, Timothy D. | |
| dc.creator | Lim, Chjan C. | |
| dc.date | 2006-09-25 | |
| dc.date | 2007-02-08 | |
| dc.date.accessioned | 2026-07-07T07:45:16Z | |
| dc.date.available | 2026-07-07T07:45:16Z | |
| dc.description | The statistical mechanics of nearly parallel vortex filaments confined in the unbounded plane by angular momentum, first studied by Lions and Majda (2000), is investigated using a mean-field approximation to interaction and a spherical constraint to develop an explicit formula for the mean square vortex position or length scale of the system, $R$, verified with Path Integral Monte Carlo simulations. We confirm that 3D filaments resist confinement in a different way than 2D point vortices and that this results in a profound shift at high-densities for the length scale of quasi-2D versus strictly-2D models of vorticity fields in which angular momentum is conserved. Our analytical results correspond well with those of the Monte Carlo simulations and show a 3D effects contributing significantly to determination of the length scale. | |
| dc.description | submitted to JFM, 31 pages; complete rewrite of paper; new simulations and analysis is more sophisticated | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609071 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123478 | |
| dc.subject | Mathematical Physics | |
| dc.title | Trapped slender vortex filaments in statistical equilibrium | |
| dc.type | text |