Generalized vorticity in transitional quantum turbulence
| dc.creator | Bershadskii, A. | |
| dc.date | 2007-09-16 | |
| dc.date | 2007-09-24 | |
| dc.date.accessioned | 2026-07-07T08:31:19Z | |
| dc.date.available | 2026-07-07T08:31:19Z | |
| dc.description | Transition to condensate state in the degenerate gas of bosons is studied using the Gross-Pitaevskii equation. It is shown that adiabatic invariance of an enstrophy (mean squared vorticity) based on a generalized vorticity $curl (|ψ|^2 {\bf v})/|ψ|^2$, controls dynamics of the transitional turbulence just before formation of the condensate with its tangles of quantized vortices ($|ψ|^2 {\bf v}$ is the weighted velocity field defined on the macroscopic wave function $ψ$). Scaling of the angle-averaged occupation number spectrum, $N_k \sim k^{-1}$, has been obtained for the free developing transitional turbulence for the weak nonlinear (and completely disordered) initial conditions. Results of the three-dimensional numerical simulations have been used to support the theoretical consideration. | |
| dc.identifier | https://arxiv.org/abs/0709.2501 | |
| dc.identifier | http://arxiv.org/abs/0709.2501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138471 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Generalized vorticity in transitional quantum turbulence | |
| dc.type | text |