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Acceleration of Energetic Particles Through Self-Generated Waves in a Decelerating Coronal Shock


, : Acceleration of Energetic Particles Through Self-Generated Waves in a Decelerating Coronal Shock.

We have developed a simulation model of particle acceleration in coronalshock waves. The model is based on a Monte Carlo method, where particles aretraced in prescribed large-scale electromagnetic fields utilizing the guidingcenter approximation. The particles are scattered in the turbulence accordingto quasilinear theory, with the scattering amplitude directly proportional tothe intensity of Alfv\'en waves at gyro-resonant wavenumbers. The Alfv\'enwaves are traced simultaneously with the particles, so that the wave field ispropagated outwards from the Sun using WKB propagation supplemented with aphenomenological wavenumber diffusion term and a growth rate computed from thenet flux of the accelerated particles. We consider initial wave amplitudessmall enough to allow rapid escape of particles from the shock to the ambientmedium. Thus, in our model the Alfv\'en waves responsible for the diffusiveacceleration of particles are generated by the accelerated particlesthemselves. In this work, we study the effects of non-constant shock velocityand non-monotonic Alfv\'en velocity on particle acceleration scenarios. Wereport in particular how the deceleration of a shock affects particle intensityand turbulence power evolution in the vicinity of the shock.

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