| Автор | M Robnik |
| Автор | M V Berry |
| Дата выпуска | 1985-06-21 |
| dc.description | A particle moves in circular arcs with Larmor radius R between specular reflections at the smooth convex boundary of a planar region. The dynamics depends on the value of R in relation to the extreme curvature radii rho <sub>min</sub> and rho <sub>max</sub> and the radius R* of the largest circle that can be inscribed in the boundary. For R<R* some orbits are complete Larmor circles and constitute an integrable component of the motion; all other orbits bounce repeatedly. For rho <sub>min</sub><R< rho <sub>max</sub> there are 'flyaway intervals' on the boundary for which glancing orbits are a powerful source of chaos in the map (on the phase cylinder) relating successive bounces; this type of chaos is a characteristic feature of magnetic billiards. For sufficiently large R the simplest closed orbits consist of two arcs associated with diameters of the boundary; their existence and stability can be determined. In several regimes where motion consists of short skips between nearby boundary points (including the strong-field case R to 0), an explicit adiabatic invariant can be found which gives an excellent approximation to the exact invariant curves in these regimes. Computations for a magnetic billiard with elliptic boundary illustrate the theory. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Classical billiards in magnetic fields |
| Тип | paper |
| DOI | 10.1088/0305-4470/18/9/019 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 18 |
| Первая страница | 1361 |
| Последняя страница | 1378 |
| Аффилиация | M Robnik; H.H. Wills Phys. Lab., Bristol Univ., UK |
| Аффилиация | M V Berry; H.H. Wills Phys. Lab., Bristol Univ., UK |
| Выпуск | 9 |
