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Title:A new time-dependent finite-difference method for relativistic shock acceleration
Authors:S. Delaney*, P. Dempsey, P. Duffy, T. P. Downes, 2012
Abstract: We present a new approach to calculate the particle distribution function about relativistic shocks including synchrotron losses using the method of lines with an explicit finite-difference scheme. A steady, continuous, one-dimensional plasma flow is considered to model thick (modified) shocks, leading to a calculation in three dimensions plus time, the former three being momentum, pitch angle and position. The method accurately reproduces the expected power-law behaviour in momentum at the shock for upstream flow speeds ranging from 0.1c to 0.995c (Γ ∈ (1, 10]). It also reproduces approximate analytical results for the synchrotron cutoff shape for a non-relativistic shock, demonstrating that the loss process is accurately represented. The algorithm has been implemented as a hybrid OpenMP–MPI parallel algorithm to make efficient use of SMP cluster architectures and scales well up to many hundreds of CPUs.
ICHEC Project:HPC methods for particle acceleration at relativistic shocks
Publication:Mon. Not. Roy. Astron. Soc. 420 (2012) 3360–3367
URL: http://onlinelibrary.wiley.com/doi/10.1111/j.1365-2966.2011.20257.x/abstract;jsessionid=F5F9E0755DF14F624E9C85A9F0F5420B.d02t04?userIsAuthenticated=false&deniedAccessCustomisedMessage=
Keywords: acceleration of particles;relativistic processes;shock waves;methods: numerical
Status: Published

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