Stability properties of a thin relativistic beam propagation in a magnetized plasma
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© 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: A self-consistent nonlinear hydrodynamic theory is presented of the propagation of a long and thin relativistic electron beam through a plasma that is relatively strongly magnetized. Such situation is encountered when the gyro-frequency is comparable to the plasma frequency, i.e. |Ωe| ~ ωpe. In addition, it is assumed the plasma density is much bigger than that of the beam. In the regime when the solution propagates in the comoving frame with a velocity that is much smaller than the thermal speed, a nonlinear stationary beam structure is found in which the electron motion in the transverse direction is negligible and whose transverse localization comes from the nonlinearity associated with its 3-D adiabatic expansion. Conversely, when the parallel velocity of the structure is sufficiently large to prevent the heat convection along the magnetic field, a helicoidally shaped stationary solution is found that is governed by the transverse convective nonlinearity. The profile of such beam is determined from a nonlinear dispersion relation and depends on the transverse size of the beam and its pitch angle to the magnetic field. Graphical abstract: [Figure not available: see fulltext.].
author list (cited authors)
Jovanović, D., Fedele, R., Belić, M., De Nicola, S., & Akhter, T.