Numerical solution of the linear dispersion relation in a relativistic pair plasma

Details Numerical solution of the linear dispersion relation in a relativistic pair plasma Numerical solution of the linear dispersion relation in a relativistic pair plasma

2007-01-18

arxiv.org/abs/astro-ph/0701524v1

Astronomy and Astrophysics

Astrophysics

Accepted by Plasma Physics and Controlled Fusion

Scientific paper

10.1088/0741-3335/49/3/008

We describe an algorithm that computes the linear dispersion relation of waves and instabilities in relativistic plasmas within a Vlasov-Maxwell description. The method used is fully relativistic and involves explicit integration of particle orbits along the unperturbed equilibrium trajectories. We check the algorithm against the dispersion curves for a single component magnetised plasma and for an unmagnetised plasma with counter-streaming components in the non-relativistic case. New results on the growth rate of the Weibel or two-stream instability in a hot unmagnetised pair plasma consisting of two counter-streaming relativistic Maxwellians are presented. These are relevant to the physics of the relativistic plasmas found in gamma-ray bursts, relativistic jets and pulsar winds.

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