Lattice gas automaton approach to "Turbulent Diffusion"
| dc.creator | Boon, Jean Pierre | |
| dc.creator | Eijnden, Eric Vanden | |
| dc.creator | Hanon, David | |
| dc.date | 2001-10-27 | |
| dc.date.accessioned | 2026-07-07T02:43:18Z | |
| dc.date.available | 2026-07-07T02:43:18Z | |
| dc.description | A periodic Kolmogorov type flow is implemented in a lattice gas automaton. For given aspect ratios of the automaton universe and within a range of Reynolds number values, the averaged flow evolves towards a stationary two-dimensional $ABC$ type flow. We show the analogy between the streamlines of the flow in the automaton and the phase plane trajectories of a dynamical system. In practice flows are commonly studied by seeding the fluid with suspended particles which play the role of passive tracers. Since an actual flow is time-dependent and has fluctuations, the tracers exhibit interesting intrinsic dynamics. When tracers are implemented in the automaton and their trajectories are followed, we find that the tracers displacements obey a diffusion law, with ``super-diffusion'' in the direction orthogonal to the direction of the initial forcing. | |
| dc.description | 7 revtex4 pages including 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0110575 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0110575 | |
| dc.identifier | CHAOS, SOLITONS, and FRACTALS, {\bf 11}, 187-192 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18443 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Lattice gas automaton approach to "Turbulent Diffusion" | |
| dc.type | text |