Mesh-Free Magnetoinductive Plasma Model

To study the transport phenomena of energetic particles in plasmas, a new type of mesh-free plasma simulation model is introduced. The model is implemented within the parallel tree code Pretty Efficient Parallel Coulomb-solver, which uses an O (N log N) Barnes-Hut tree algorithm to speed up the force calculation. In this paper, we present an extension of this approach to include magnetic fields within the so-called Darwin or magnetoinductive approximation, which neglects the transverse part of the displacement current in Ampère´s law. This effectively omits radiation, which means that the timestep is no longer limited by the Courant condition, as in the fully electromagnetic case. The ability of the model to give a valid description of an N-body system with self-consistently evolving E- and B-fields is demonstrated by preliminary tests.