The Library
The stability of charged-particle motion in sheared magnetic reversals
Tools
Tools
Tools
Tsalas, M., Chapman, Sandra C. and Rowlands, G. (George). (2001) The stability of charged-particle motion in sheared magnetic reversals. Journal of Plasma Physics, Vol.65 (No.4). pp. 331-352. ISSN 0022-3778
![[img]](http://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png)
|
PDF
WRAP_Tsalas_stability_charge_particle_motion.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (998Kb) |
Official URL: http://dx.doi.org/10.1017/S0022377801001039
Abstract
We consider the motion of charged particles in a static magnetic reversal with a shear component, which has application for the stability of current sheets, such as in the Earth's geotail and in solar flares. We examine how the topology of the phase space changes as a function of the shear component by. At zero by, the phase space may be characterized by regions of stochastic and regular orbits (KAM surfaces). Numerically, we find that as we vary by, the position of the periodic orbit at the centre of the KAM surfaces changes. We use multiple-timescale perturbation theory to predict this variation analytically. We also find that for some values of by, all the KAM surfaces are destroyed owing to a resonance effect between two timescales, making the phase space globally chaotic. By investigating the stability of the solutions in the vicinity of the fixed point, we are able to predict for what values of by this happens and when the KAM surfaces reappear.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Particles (Nuclear physics), Plasma physics, Topology, Phase space (Statistical physics), Perturbation (Mathematics) |
| Journal or Publication Title: | Journal of Plasma Physics |
| Publisher: | Cambridge University Press |
| ISSN: | 0022-3778 |
| Date: | May 2001 |
| Volume: | Vol.65 |
| Number: | No.4 |
| Page Range: | pp. 331-352 |
| Identification Number: | 10.1017/S0022377801001039 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| References: | Buchner, J. and Zelenyi, L. M. 1986 Deterministic chaos in the dynamics of charged particles near a magnetic �eld reversal. Phys. Lett. 118A, 395. Buchner, J. and Zelenyi, L. M. 1991 Regular and chaotic particle motion in sheared magnetic eld reversals. Adv. Space Res. 11, 9177. Chapman, S. C. 1994 Properties of single particle dynamics in a parabolic magnetic reversal with general time dependence. J. Geophys. Res. 99, 5977. Chapman, S. C. and Rowlands, G. 1998 Are particles detrapped by constant By in static magnetic reversals? J. Geophys. Res. 103, 4597. Chen, J. 1992 Nonlinear dynamics of charged particles in the magnetotail. J. Geophys. Res. 97, 15011. Chen, J. and Palmadesso, P. J. 1986 Chaos and nonlinear dynamics of single-particle orbits in a magnetotaillike magnetic �eld. J. Geophys. Res. 91, 1499. de Hoffman, F. and Teller, E. 1950 Magnetohydrodynamic shock. Phys. Rev. 80, 692. Harris, E. G. 1962 On a plasma sheath separating regions of oppositely directed magnetic eld. Nuovo Cim. 23, 115. Karimabadi, H., Pritchett, P. L. and Coroniti, F. V. 1990 Particle orbits on two-dimensional equilibrium models for the magnetotail. J. Geophys. Res. 95, 17153. Litvinenko, Y. E. 1996 Particle acceleration in reconnecting current sheets with a nonzero magnetic �eld. Astrophys. J. 462, 997. Rowlands, G. 1990 Non-Linear Phenomena in Science and Engineering. Ellis Horwood, Chichester. Sergeev, V. A., Mitchell, D. G., Russell, C. T. and Williams, D. J. 1993 Structure of the tail plasma/current sheet at � 11re and its changes in the course of a substorm. J. Geophys. Res. 98, 17345. Sonnerup, B. U. O� . 1971 Adiabatic particle orbits in a magnetic null sheet. J. Geophys. Res. 76, 2811. Speiser, T. W. 1978 Particle trajectories in model current sheets, 1. Analytical solutions. J. Geophys. Res. 21, 627. Wang, Z. D. 1994 Single particle dynamics of the parabolic �eld model. J. Geophys. Res. 99, 5949. Ynnerman, A., Chapman, S. C., Tsalas,M. and Rowlands, G. 2000 Identi�cation of symmetry breaking and a bifurcation sequence to chaos in single particle dynamics in magnetic reversals. Physica D139, 217. Zhu, Z. and Parks, G. 1993 Particle orbits in model current sheets with a nonzero By component. J. Geophys. Res. 98, 7603. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/801 |
Actions (login required)
 |
View Item |
