تقرير
Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks
| العنوان: | Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks |
|---|---|
| المؤلفون: | Souza, Leonardo C., Mathias, Amanda C., Caldas, Iberê L., Elskens, Yves, Viana, Ricardo L. |
| سنة النشر: | 2022 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Plasma Physics, Physics - Computational Physics |
| الوصف: | The ${\bf E}\times{\bf B}$ drift motion of particles in tokamaks provides valuable information on the turbulence-driven anomalous transport. One of the characteristic features of the drift motion dynamics is the presence of chaotic orbits for which the guiding center can experience large-scale drifts. If one or more exits are placed within that chaotic orbit, the corresponding escape basins structure is complicated and, indeed, exhibits fractal structures. We investigate those structures through a number of numerical diagnostics, tailored to quantify the final-state uncertainty related to the fractal escape basins. We estimate the escape basin boundary dimension through the uncertainty exponent method, and quantify final-state uncertainty by the basin entropy and the basin boundary entropy. Finally, we describe the so-called Wada property, for the case of three or more escape basins. This property is verified both qualitatively and quantitatively, using a grid approach. Comment: 15 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/5.0147679 |
| URL الوصول: | http://arxiv.org/abs/2212.10616 |
| رقم الأكسشن: | edsarx.2212.10616 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/5.0147679 |
|---|