Relaxation of a magnetized electron–positron–ion plasma with flows

Abstract

It is shown that possible relaxed magnetic field configurations of a magnetized electron–positron–ion (e–p–i) plasma with flows can be described by a triple curl Beltrami (TCB) equation, which is equivalent to the superposition of three different Beltrami fields. The TCB equation admits three relaxed structures when the linear and nonlinear inertial forces of all three plasma species involved are taken into account. One of the structures represents the system size while the remaining two could be of the order of electron skin depth.