Statistical Equilibrium of trapped slender vortex filaments - a continuum model
| dc.creator | Andersen, Timothy D. | |
| dc.creator | Lim, Chjan C. | |
| dc.date | 2006-01-06 | |
| dc.date | 2006-09-25 | |
| dc.date.accessioned | 2026-07-07T06:57:22Z | |
| dc.date.available | 2026-07-07T06:57:22Z | |
| dc.description | Systems of nearly parallel, slender vortex filaments in which angular momentum is conserved are an important simplification of the Navier-Stokes equations where turbulence can be studied in statistical equilibrium. We study the canonical Gibbs distribution based on the Klein-Majda-Damodaran (KMD) model and find a divergence in the mean square vortex position from that of the point vortex model of Onsager at high temperature. We subsequently develop a free energy equation based on the non-interacting case, with a spherical constraint, which we approximate using the method of Kac-Berlin, adding a mean field term for logarithmic interaction. This free energy equation, we use to predict the Monte Carlo results. | |
| dc.description | 13 pages, 5 figures; major revisions in theoretical section; slight change of numerical results from L=20 to L=100; typos corrected in free-energy section | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0601109 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0601109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106944 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Superconductivity | |
| dc.title | Statistical Equilibrium of trapped slender vortex filaments - a continuum model | |
| dc.type | text |