A novel method to construct stationary solutions of the Vlasov-Maxwell system: The relativistic case

Suzuki, Akihiro
July 2008
Physics of Plasmas;Jul2008, Vol. 15 Issue 7, p072107
Academic Journal
A method to derive stationary solutions of the relativistic Vlasov-Maxwell system is explored. In the nonrelativistic case, a method using the Hermite polynomial series to describe the deviation from the Maxwell-Boltzmann distribution is found to be successful in deriving a few stationary solutions, including a two-dimensional one. Instead of the Hermite polynomial series, two special orthogonal polynomial series, which are appropriate to expand the deviation from the Maxwell-Jüttner distribution, are introduced in this paper. By applying this method, a new two-dimensional equilibrium is derived, which may provide an initial setup for investigations of three-dimensional relativistic collisionless reconnection of magnetic fields.


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