Particle acceleration by relativistic expansion of magnetic arcades

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Scientific paper

As a model of SGR outbursts based on Thompson & Duncan (2001) model, we simulated the relativistic expansion of magnetic arcades anchored to the surface of a magnetar. When the footpoints of magnetic arcades are twisted due to the shear motion, magnetic loops expand in vertical direction, and magnetic reconnection takes place inside the loops (Mikic et. al 1988). This model has been studied to explain solar flares. We applied this model to a relativistic plasma and carried out numerical simulations by using relativistic MHD code and PIC code. When plasma density is enough small compared to the Goldreich-Julian density, particles are accelerated by induced electric field. On the other hand, when plasma density is enough high compared to the Goldreich-Julian density, shear energy is converted into magnetic energy and magnetic arcades begin to expand. Such a expansion may occur on the surface of magnetars. We simulated starting from arcade model similar to that given by Mikic et al. (1988). First we simulated the evolution of the arcades by using relativistic MHD code and confirmed that magnetic reconnection takes place in the expanding arcades. We also carried out 2.5-dimensional simulation starting from the same initial condition as the MHD model except that the simulation region ( 100 Larmor radius) is much smaller. In PIC simulation, we can study low density model in which particles are accelerated directly by electric field. We report the result and discuss how much shear motion energy converts into particle energy.

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