Alfvén Wave-Charged Particle Interactions through Landau Damping

Astronomy and Astrophysics – Astronomy

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Scientific paper

The possibility of Landau damping of energetic particles in resonance with Alfven waves was first raised in the context of pulsar envelopes some decades ago. Today due to satellite observations there is a renewed interest in the topic as one of the possible mechanisms for transfer of energy in the solar atmosphere and solar wind. We therefore analyze the interaction of elliptically polarised Alfven waves with a semi-relativistic collisionless charged particle distribution by using the linearised Vlasov equation. Taking into consideration developments in the theory of Bessel functions we write the results in a concise form. The transfer of energy is thus expressed in terms of particle parameters as well as the Stokes parameter which is associated with the total energy of the wave. The frequency of the Alfven wave must be comparable with or larger than that of the cyclotron frequency in order to play an efficient role in the absorption or emission of the energy of the charged particle in agreement with the theorem of energy conservation. The role of the relative velocity of the particles against the Alfven velocity is elucidated in a natural way as a result of relativistic considerations.

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