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Title: Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with Maxwell-Jüttner velocity distribution functions

Abstract

We use a kinetic treatment to study the linear transverse dispersion relation for a magnetized isotropic relativistic electron-positron plasma with finite relativistic temperature. The explicit linear dispersion relation for electromagnetic waves propagating along a constant background magnetic field is presented, including an analytical continuation to the whole complex frequency plane for the case of Maxwell-Jüttner velocity distribution functions. This dispersion relation is studied numerically for various temperatures. For left-handed solutions, the system presents two branches, the electromagnetic ordinary mode and the Alfvén mode. In the low frequency regime, the Alfvén branch has two dispersive zones, the normal zone (where ∂ω/∂k > 0) and an anomalous zone (where ∂ω/∂k < 0). We find that in the anomalous zone of the Alfvén branch, the electromagnetic waves are damped, and there is a maximum wave number for which the Alfvén branch is suppressed. We also study the dependence of the Alfvén velocity and effective plasma frequency with the temperature. We complemented the analytical and numerical approaches with relativistic full particle simulations, which consistently agree with the analytical results.

Authors:
 [1];  [2];  [3];  [2];  [3]
  1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Concepción (Chile)
  2. NASA Goddard Space Flight Center, Heliophysics Science Division, Geospace Physics Laboratory, Mail Code 673, Greenbelt, Maryland 20771 (United States)
  3. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago (Chile)
Publication Date:
OSTI Identifier:
22303617
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DISPERSION RELATIONS; DISTRIBUTION FUNCTIONS; ELECTROMAGNETIC RADIATION; ELECTRONS; LANGMUIR FREQUENCY; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; PLASMA; POSITRONS; RELATIVISTIC RANGE; SIMULATION

Citation Formats

López, Rodrigo A., Moya, Pablo S., Department of Physics, Catholic University of America, Washington DC, DC 20064, Muñoz, Víctor, Viñas, Adolfo F., Valdivia, J. Alejandro, and Centro para el Desarrollo de la Nanociencia y la Nanotecnología, CEDENNA, Santiago. Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with Maxwell-Jüttner velocity distribution functions. United States: N. p., 2014. Web. doi:10.1063/1.4894679.
López, Rodrigo A., Moya, Pablo S., Department of Physics, Catholic University of America, Washington DC, DC 20064, Muñoz, Víctor, Viñas, Adolfo F., Valdivia, J. Alejandro, & Centro para el Desarrollo de la Nanociencia y la Nanotecnología, CEDENNA, Santiago. Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with Maxwell-Jüttner velocity distribution functions. United States. https://doi.org/10.1063/1.4894679
López, Rodrigo A., Moya, Pablo S., Department of Physics, Catholic University of America, Washington DC, DC 20064, Muñoz, Víctor, Viñas, Adolfo F., Valdivia, J. Alejandro, and Centro para el Desarrollo de la Nanociencia y la Nanotecnología, CEDENNA, Santiago. 2014. "Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with Maxwell-Jüttner velocity distribution functions". United States. https://doi.org/10.1063/1.4894679.
@article{osti_22303617,
title = {Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with Maxwell-Jüttner velocity distribution functions},
author = {López, Rodrigo A. and Moya, Pablo S. and Department of Physics, Catholic University of America, Washington DC, DC 20064 and Muñoz, Víctor and Viñas, Adolfo F. and Valdivia, J. Alejandro and Centro para el Desarrollo de la Nanociencia y la Nanotecnología, CEDENNA, Santiago},
abstractNote = {We use a kinetic treatment to study the linear transverse dispersion relation for a magnetized isotropic relativistic electron-positron plasma with finite relativistic temperature. The explicit linear dispersion relation for electromagnetic waves propagating along a constant background magnetic field is presented, including an analytical continuation to the whole complex frequency plane for the case of Maxwell-Jüttner velocity distribution functions. This dispersion relation is studied numerically for various temperatures. For left-handed solutions, the system presents two branches, the electromagnetic ordinary mode and the Alfvén mode. In the low frequency regime, the Alfvén branch has two dispersive zones, the normal zone (where ∂ω/∂k > 0) and an anomalous zone (where ∂ω/∂k < 0). We find that in the anomalous zone of the Alfvén branch, the electromagnetic waves are damped, and there is a maximum wave number for which the Alfvén branch is suppressed. We also study the dependence of the Alfvén velocity and effective plasma frequency with the temperature. We complemented the analytical and numerical approaches with relativistic full particle simulations, which consistently agree with the analytical results.},
doi = {10.1063/1.4894679},
url = {https://www.osti.gov/biblio/22303617}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 21,
place = {United States},
year = {Mon Sep 15 00:00:00 EDT 2014},
month = {Mon Sep 15 00:00:00 EDT 2014}
}