Plasma Equilibria in Dipolar Magnetic Configurations

Physics – Plasma Physics

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Scientific paper

Dipolar equilibria are of interest for magnetic confinement experiments in the laboratory(A. Hasegawa, Comments on Plasma Phys. Controlled Fusion 1 (1987) 147; and J. Kesner, L. Bromberg, M. E. Mauel and D. Garnier, ``Plasma Confinement in a Magnetic Dipole", Seventeenth Intl. Conf. on Plasma Phys. and Controlled Fusion Research, Yokahama, Japan, 19-23 October 1998, paper IAEA-F1-CN-69/ICP/09.) and the physics of magnetospheric and astrophysical plasmas.(M. Kallenrode, Space Physics: An Introduction to Plasmas and Particles in the Heliosphere and Magnetospheres, (Springer-Verlag, Berlin, 1998); M. M. Romanova, G. V. Ustyugova, A. V. Koldoba, V. M. Chachetkin, and R. V. E. Lovelace, Astrophysical Journal, 482 (1997) 708.) In our recent work(S. I. Krasheninnikov, P. J. Catto, and R. D. Hazeltine, Phys. Rev. Lett. 82 (1999) 2689; and P. J. Catto and S. I. Krasheninnikov, to appear in Phys. Lett. A (1999).), we have found realistic magnetic dipolar equilibria which retain the effects of finite plasma pressure, toroidal rotation, and gravitational effects. Limiting forms of the solutions are obtained analytically, and the interchange and ballooning stability of the equilibria can be explicitly evaluated in some cases. We discuss the main differences in magnetic equilibria of dipolar configurations and conventional magnetic confinement devices. We also discuss a simple experiment to verify the basic features of plasma confinement in a dipolar magnetic field that is complementary to the Levitated Dipole Experiment under construction at MIT in collaboration with Columbia Univ.

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