Eur. Phys. J. D (2016) 70: 150
https://doi.org/10.1140/epjd/e2016-60588-8

Regular Article

Rigid rotor equilibria with non-neutral plasma: analytical relativistic two fluid model

Instituto Federal de Educação, Ciências e Tecnologia do Espírito Santo, Campus Cariacica, Coordenadoria de Física, 29150-410 Cariacica, Brazil

^a e-mail: filipe.braga@ifes.edu.br

Received: 19 October 2015
Received in final form: 27 March 2016
Published online: 12 July 2016

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.