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Showing papers by "Marshall N. Rosenbluth published in 1965"


Journal ArticleDOI
TL;DR: In this paper, the authors studied the stability of universal instability in a more complicated plasma equilibrium, including magnetic shear, finite plasma length, currents parallel to B, temperature gradients, and gravity-simulated magnetic cusp or mirror curvature.
Abstract: An inhomogeneous collisionless plasma in a magnetic field B is unstable to an electrostatic oscillation propagating nearly perpendicular to B but with a large phase velocity parallel to B. We study the stability of this mode in a more complicated plasma equilibrium, including magnetic shear, finite plasma length, currents parallel to B, temperature gradients, and gravity‐simulated magnetic cusp or mirror curvature. We find that many of these equilibria are stable to this mode, which has been misnamed a ``universal instability.''

162 citations


Journal ArticleDOI
TL;DR: In this article, a low-β collisionless plasma cylinder confined in a uniform magnetic field is considered and the effects of finite Larmor radius and nonuniform rotation are included deriving a proper set of hydromagnetic equations and variational principles for determining stability.
Abstract: A low‐β collisionless plasma cylinder confined in a uniform magnetic field is considered. The well‐known flute instabilities occur due to plasma rotation or radial gravity which simulates field line curvature. The effects of finite Larmor radius and nonuniform rotation are included deriving a proper set of hydromagnetic equations and variational principles for determining stability. In most cases these are merely sufficient but in a variety of cases may be both necessary and sufficient for stability.

160 citations