Artículo
Abstract:
The modulational instability of a linearly polarized, strong, electromagnetic wave in a (unmagnetized) positron-electron plasma is analyzed using relativistic two-fluid hydrodynamics to properly account for physical regimes of very high temperatures. The effect of phonon damping is also included in the treatment. The theory can be reduced to a pair of extended Zakharov equations. The envelope modulation is then studied by deriving the corresponding nonlinear Schrödinger (NLS) equation, using multiscale perturbation analysis. According to the intensity of the damping three different types of NLS are obtained. The main results are (a) that relativistic temperatures modify the stability result found in the literature for low temperature, zero damping, [formula presented] -[formula presented] plasmas, and (b) that phonon damping also produces substantial changes in the NLS, which then predict unstable envelopes. This work extends previous analyses, showing that if the phonon damping is O([formula presented] ) or O([formula presented] ) (ε is the perturbation parameter), a modulational instability appears in the electron-positron case in all ranges of temperature and wave frequencies. Thus presence of some amount of sound absorption helps to produce an envelope decay. When the phonon damping is very small [O([formula presented] )] the self-modulational instability occurs in a finite band near the reduced plasma frequency, for ultrarelativistic temperatures. © 1997 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Self-modulation of a strong electromagnetic wave in a positron-electron plasma induced by relativistic temperatures and phonon damping |
| Autor: | Gratton, F.T.; Gnavi, G.; Galvão, R.M.O.; Gomberoff, L. |
| Filiación: | Instituto de Física del Plasma, Consejo Nacional de Investigaciones Científicas y Técnicas and Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria Pabellón 1, Buenos Aires, 1428, Argentina Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, São Paulo, 05389-970, Brazil Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla, Santiago, 653, Chile |
| Palabras clave: | Harmonic generation; Integrodifferential equations; Mathematical models; Modulation; Nonlinear equations; Oscillations; Perturbation techniques; Phonons; Plasma density; Plasmas; Extended Zakharov equations; Nonlinear Schrodinger equation; Phonon damping; Ponderomotive force; Positrons; Relativistic temperature; Electromagnetic waves |
| Año: | 1997 |
| Volumen: | 55 |
| Número: | 3 |
| Página de inicio: | 3381 |
| Página de fin: | 3392 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.55.3381 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v55_n3_p3381_Gratton |
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Citas:
---------- APA ----------
Gratton, F.T., Gnavi, G., Galvão, R.M.O. & Gomberoff, L. (1997) . Self-modulation of a strong electromagnetic wave in a positron-electron plasma induced by relativistic temperatures and phonon damping. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(3), 3381-3392.http://dx.doi.org/10.1103/PhysRevE.55.3381
---------- CHICAGO ----------
Gratton, F.T., Gnavi, G., Galvão, R.M.O., Gomberoff, L. "Self-modulation of a strong electromagnetic wave in a positron-electron plasma induced by relativistic temperatures and phonon damping" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 55, no. 3 (1997) : 3381-3392.http://dx.doi.org/10.1103/PhysRevE.55.3381
---------- MLA ----------
Gratton, F.T., Gnavi, G., Galvão, R.M.O., Gomberoff, L. "Self-modulation of a strong electromagnetic wave in a positron-electron plasma induced by relativistic temperatures and phonon damping" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 55, no. 3, 1997, pp. 3381-3392.http://dx.doi.org/10.1103/PhysRevE.55.3381
---------- VANCOUVER ----------
Gratton, F.T., Gnavi, G., Galvão, R.M.O., Gomberoff, L. Self-modulation of a strong electromagnetic wave in a positron-electron plasma induced by relativistic temperatures and phonon damping. Phys Rev E. 1997;55(3):3381-3392.http://dx.doi.org/10.1103/PhysRevE.55.3381
