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Large-amplitude Electromagnetic Waves in Magnetized Relativistic Plasmas with Temperature : Volume 21, Issue 1 (14/02/2014)

By Muñoz, V.

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Book Id: WPLBN0003991833
Format Type: PDF Article :
File Size: Pages 20
Reproduction Date: 2015

Title: Large-amplitude Electromagnetic Waves in Magnetized Relativistic Plasmas with Temperature : Volume 21, Issue 1 (14/02/2014)  
Author: Muñoz, V.
Volume: Vol. 21, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Domínguez, M., López, R. A., Viñas, A., Asenjo, F. A., Valdivia, J. A., Muñoz, V., & Hada, T. (2014). Large-amplitude Electromagnetic Waves in Magnetized Relativistic Plasmas with Temperature : Volume 21, Issue 1 (14/02/2014). Retrieved from http://worldebookfair.org/


Description
Description: Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile. 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.


Summary
Large-amplitude electromagnetic waves in magnetized relativistic plasmas with temperature

Excerpt
Asenjo, F. A., Muñoz, V., Valdivia, J. A., and Hada, T.: Circularly Polarized Wave Propagation in Magnetofluid Dynamics for Relativistic Electron-Positron Plasmas, Phys. Plasmas, 16, 122108, doi:10.1063/1.3272667, 2009.; Asenjo, F. A., Borotto, F., Chian, A. C.-L., Muñoz, V., Valdivia, J. A., and Rempel, E.: Self-Modulation of Nonlinear Waves in a Weakly Magnetized Relativistic Electron-Positron Plasma with Temperature, Phys. Rev. E, 85, 046406, doi:10.1103/PhysRevE.85.046406, 2012.; Gibbons, G. W., Hawking, S., and Siklos, S. T. C. (Eds.): The Very Early Universe, Cambridge University Press, Cambridge, UK, 1985.; Bambah, B. A., Mahajan, S. M., and Mukku, C.: Yang-Mills Magnetofluid Unification, Phys. Rev. Lett., 97, 072301, doi:10.1103/PhysRevLett.97.072301, 2006.; Barnes, A. and Hollweg, J. V.: Large-Amplitude Hydromagnetic Waves, J. Geophys. Res., 79, 2302–2318, 1974.; Berezhiani, V. I. and Mahajan, S. M.: Large Amplitude Localized Structures in a Relativistic Electron-Positron Ion Plasma, Phys. Rev. Lett., 73, 1110–1113, 1994.; Berezhiani, V. I. and Mahajan, S. M.: Large Relativistic Density Pulses in Electron-Positron-Ion Plasmas, Phys. Rev. E, 52, 1968–1979, 1995.; Beskin, V. S., Gurevich, A. V., and Istamin, Y. N.: Physics of the Pulsar Magnetosphere, Cambridge University Press, Cambridge, UK, 1993.; Björnsson, G., Abramowicz, M. A., Chen, X., and Lasota, J.-P.: Hot Accretion Disks Revisited, Astrophys. J., 467, 99–104, 1996.; Blaschke, D. B., Prozorkevich, A. V., Roberts, C. D., Schmidt, S. M., and Smolyansky, S. A.: Pair Production and Optical Lasers, Phys. Rev. Lett., 96, 140402, doi:10.1103/PhysRevLett.96.140402, 2006.; Chaudhary, R., Tsintsadze, N. L., and Shukla, P. K.: Nonlinear Propagation of Intense Electromagnetic Waves in a Hot Electron-Positron Plasma, J. Plasma Phys., 76, 875–886, 2010.; Chen, H., Wilks, S. C., Bonlie, J. D., Liang, E. P., Myatt, J., Price, D. F., Meyerhofer, D. D., and Beiersdorfer, P.: Relativistic Positron Creation Using Ultraintense Short Pulse Lasers, Phys. Rev. Lett., 102, 105001, doi:10.1103/PhysRevLett.102.105001, 2009.; Curtis, M. F.: The Theory of Neutron Stars Magnetospheres, University of Chicago Press, Chicago, USA, 1991.; Chen, H., Meyerhoferb, D. D., Wilks, S. C., Cauble, R., Dollar, F., Falk, K., Gregori, G., Hazi, A., Moses, E. I., Murphy, C. D., Myatt, J., Park, J., Seely, J., Shepherd, R., Spitkovsky, A., Stoeckl, C., Szabo, C. I., Tommasini, R., Zulick, C., and Beiersdorfer, P.: Towards Laboratory Produced Relativistic Electron-positron Pair Plasmas, High Energy Density Physics, 7, 225–229, 2011.; Domínguez, M., Muñoz, V., and Valdivia, J. A.: Thermal Effects on the Propagation of Large-Amplitude Electromagnetic Waves in Magnetized Relativistic Electron-Positron Plasma, Phys. Rev. E, 85, 056416, doi:10.1103/PhysRevE.85.056416, 2012.; Gill, R. and Heyl, J. S.: Dispersion Relations for Bernstein Waves in a Relativistic Pair Plasma, Phys. Rev. E, 80, 036407, doi:10.1103/PhysRevE.80.036407, 2009.; Gomberoff, L. and Galvão, R. M. O.: Modulational Instability of a Circularly Polarized Wave in a Magnetized Electron-Positron Plasma With Relativistic Thermal Energies, Phys. Rev. E, 56, 4574, doi:10.1103/PhysRevE.56.4574, 1997.; Gomberoff, L., Gratton, F. T., and Gnavi, G.: Excitation and Parametric Decay of Electromagnetic Ion Cyclotron Waves in High-Speed Solar Wind Streams, J. Geophys. Res., 99, 14717–14727, 1994.; Gomberoff, L., Muñoz

 

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