Abstract
The analysis of non-neutral plasmas using fluid models in general implies on the resolutions of coupled differential equations, in particular the so-called rigid-rotor plasma equilibrium involves the solution of the Poisson-Ampère and moment equations. The present work shows an analytical solution for this model at a relativistic cold adiabatic plasma approximation considering a two species plasma where electric field gives an important contribution for the plasma confinement. According to the present study the most important plasma parameters responsible for confinement are the particles angular velocities, as expected, and mass ratio between the species.
Graphical abstract
Similar content being viewed by others
References
R.C. Davidson, H. Uhm, S.M. Mahajan, Phys. Fluids 19, 1608 (1976)
R.C. Davidson, S. Strasburg, Phys. Plasmas 7, 2657 (2000)
Y. Kiwamoto, Y. Soga, J. Aoki, Phys. Plasmas 12, 094501 (2005)
R.C. Davidson, Theory of Nonneutral Plasma (W.A. Benjamin, 1974)
R.A. Clemente, J. Phys. Soc. Jpn 60, 2960 (1991)
J.H. Malmberg, T.M. O’Neil, Phys. Rev. Lett. 39, 1333 (1977)
D.L. Eggleston, Phys. Plasmas 4, 1196 (1997)
G. Maero, S. Chen, R. Pozzoli, M. Romé, J. Plasma Phys. 81, 495810503 (2015)
N.A. Krall, A.W. Trivelpiece, in Principles of Plasma Physics, International series in pure and applied physics (McGraw-Hill, 1973), No. v. 0-911351
S.K.T. Tsunematsu, J. Phys. Soc. Jpn 33, 1442 (1972)
F.A. Haas, J.A. Wesson, Phys. Fluids 10, 2245 (1967)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Braga, F., Soares, D. & Lourenço, W. Rigid rotor equilibria with non-neutral plasma: analytical relativistic two fluid model. Eur. Phys. J. D 70, 150 (2016). https://doi.org/10.1140/epjd/e2016-60588-8
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2016-60588-8