Propagation of relativistic plasma waves - Global nonlinear aspects

Details Propagation of relativistic plasma waves - Global nonlinear aspects Propagation of relativistic plasma waves - Global nonlinear aspects

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...165..254r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 165, no. 1-2, Sept. 1986, p. 254-268. DFG-SERC-supported research.

Astronomy and Astrophysics

Astrophysics

Plasma Waves, Pulsars, Relativistic Plasmas, Wave Propagation, Cold Plasmas, Collisionless Plasmas, Hamiltonian Functions

Scientific paper

The authors study the propagation of strong plane plasma waves in a collisionless two component plasma. The plasma is assumed cold, i.e. the velocity distributions are delta functions. The amplitude of the wave can be arbitrarily large including the most interesting case of relativistic energies for the plasma particles. The fundamental (Maxwell and Lorentz) equations are nonlinearly coupled and can be generated - in case of plane waves and vanishing radiation losses - by a nonlinear Hamilton function. The authors derive this equivalent Hamiltonian system and study its properties by numerical means employing the Poincaré mappings. They present some evidence that the Hamiltonian system is nonintegrable in case of ions and electrons, but may be integrable in case of the electron-positron plasma. Finally the radiation losses are estimated. When applied to the Crab pulsar the theory admits wave propagation in the nebula, thereby accounting for the nebular magnetic field and relativistic electrons, but not in the vicinity of the pulsar.

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