Dynamics of a Simple Model for Turbulence of the Second Sound in Helium II
| dc.creator | Chirikov, B. V. | |
| dc.creator | Davidovsky, V. G. | |
| dc.date | 2000-06-13 | |
| dc.date.accessioned | 2026-07-07T05:32:53Z | |
| dc.date.available | 2026-07-07T05:32:53Z | |
| dc.description | The results of numerical experiments on chaotic ('turbulent') dynamics of the second sound in helium II are presented and discussed based on a very simple model proposed and theoretically studied recently by Khalatnikov and Kroyter. Using a powerful present-day techniques for the studying nonlinear phenomena, we confirm their results on the stationary oscillation in helium and its stability as well as on a qualitative picture of successive transitions to limit cycles and chaos. However, the experiments revealed also a much more complicated structure of the bifurcations than it was expected. The fractal structure of chaotic attractors was also studied including their noninteger dimension. Surprisingly, a very simple model used in all these studies not only qualitatively represents the behavior of helium in laboratory experiments but also allows for a correct order-of-magnitude estimate of the critical heat pumping into helium at bifurcations. | |
| dc.description | 8 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0006018 | |
| dc.identifier | http://arxiv.org/abs/nlin/0006018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79817 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Dynamics of a Simple Model for Turbulence of the Second Sound in Helium II | |
| dc.type | text |