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Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU

Tarcisio M. Rocha Filho
Instituto de Fisica and International Center for Condensed Matter Physics, Universidade de Brasilia, CP: 04455, 70919-970 – Brasilia, Brazil
arXiv:1206.3229v1 [physics.comp-ph] (15 Jun 2012)

@article{2012arXiv1206.3229F,

   author={Filho}, Tarcisio M. Rocha},

   title={"{Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU}"},

   journal={ArXiv e-prints},

   archivePrefix={"arXiv"},

   eprint={1206.3229},

   primaryClass={"physics.comp-ph"},

   keywords={Computational Physics, Statistical Mechanics},

   year={2012},

   month={jun}

}

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We present a GPU parallel implementation of the numeric integration of the Vlasov equation in one spatial dimension based on a second order time-split algorithm with a local modified cubic-spline interpolation. We apply our approach to three different systems with long-range interactions: the Hamiltonian Mean Field, Ring and the self-gravitating sheet models. Speedups and accuracy for each model and different grid resolutions are presented.
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