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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 21, issue 1
Nonlin. Processes Geophys., 21, 217–236, 2014
https://doi.org/10.5194/npg-21-217-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear waves and chaos in space plasmas

Nonlin. Processes Geophys., 21, 217–236, 2014
https://doi.org/10.5194/npg-21-217-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Review article 14 Feb 2014

Review article | 14 Feb 2014

Large-amplitude electromagnetic waves in magnetized relativistic plasmas with temperature

V. Muñoz1, F. A. Asenjo2, M. Domínguez1, R. A. López1, J. A. Valdivia1, A. Viñas3, and T. Hada4 V. Muñoz et al.
  • 1Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
  • 2Departamento de Ciencias, Facultad de Artes Liberales, Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago, Chile
  • 3NASA Goddard Space Flight Center, Heliophysics Science Division, Geospace Physics Laboratory, Greenbelt, MD, USA
  • 4Department of Earth System Science and Technology, Kyushu University, Fukuoka, Fukuoka Prefecture 812-8581, Japan

Abstract. Propagation of large-amplitude waves in plasmas is subject to several sources of nonlinearity due to relativistic effects, either when particle quiver velocities in the wave field are large, or when thermal velocities are large due to relativistic temperatures. Wave propagation in these conditions has been studied for decades, due to its interest in several contexts such as pulsar emission models, laser-plasma interaction, and extragalactic jets.

For large-amplitude circularly polarized waves propagating along a constant magnetic field, an exact solution of the fluid equations can be found for relativistic temperatures. Relativistic thermal effects produce: (a) a decrease in the effective plasma frequency (thus, waves in the electromagnetic branch can propagate for lower frequencies than in the cold case); and (b) a decrease in the upper frequency cutoff for the Alfvén branch (thus, Alfvén waves are confined to a frequency range that is narrower than in the cold case). It is also found that the Alfvén speed decreases with temperature, being zero for infinite temperature.

We have also studied the same system, but based on the relativistic Vlasov equation, to include thermal effects along the direction of propagation. It turns out that kinetic and fluid results are qualitatively consistent, with several quantitative differences. Regarding the electromagnetic branch, the effective plasma frequency is always larger in the kinetic model. Thus, kinetic effects reduce the transparency of the plasma. As to the Alfvén branch, there is a critical, nonzero value of the temperature at which the Alfvén speed is zero. For temperatures above this critical value, the Alfvén branch is suppressed; however, if the background magnetic field increases, then Alfvén waves can propagate for larger temperatures.

There are at least two ways in which the above results can be improved. First, nonlinear decays of the electromagnetic wave have been neglected; second, the kinetic treatment considers thermal effects only along the direction of propagation. We have approached the first subject by studying the parametric decays of the exact wave solution found in the context of fluid theory. The dispersion relation of the decays has been solved, showing several resonant and nonresonant instabilities whose dependence on the wave amplitude and plasma temperature has been studied systematically. Regarding the second subject, we are currently performing numerical 1-D particle in cell simulations, a work that is still in progress, although preliminary results are consistent with the analytical ones.

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