Chaotic Mixing in a Torus Map
| dc.creator | Thiffeault, Jean-Luc | |
| dc.creator | Childress, Stephen | |
| dc.date | 2002-11-21 | |
| dc.date | 2003-02-25 | |
| dc.date.accessioned | 2026-07-07T08:48:41Z | |
| dc.date.available | 2026-07-07T08:48:41Z | |
| dc.description | The advection and diffusion of a passive scalar is investigated for a map of the 2-torus. The map is chaotic, and the limit of almost-uniform stretching is considered. This allows an analytic understanding of the transition from a phase of constant scalar variance (for short times) to exponential decay (for long times). This transition is embodied in a short superexponential phase of decay. The asymptotic state in the exponential phase is an eigenfunction of the advection-diffusion operator, in which most of the scalar variance is concentrated at small scales, even though a large-scale mode sets the decay rate. The duration of the superexponential phase is proportional to the logarithm of the exponential decay rate; if the decay is slow enough then there is no superexponential phase at all. | |
| dc.description | 12 pages, 4 figures. RevTeX4 and psfrag macros. Final version | |
| dc.identifier | https://arxiv.org/abs/nlin/0211036 | |
| dc.identifier | http://arxiv.org/abs/nlin/0211036 | |
| dc.identifier | Chaos 13, 502-507 (2003) | |
| dc.identifier | doi:10.1063/1.1568833 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144030 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Dynamical Systems | |
| dc.subject | Fluid Dynamics | |
| dc.title | Chaotic Mixing in a Torus Map | |
| dc.type | text |