Numerical resolution of the Vlasov equation for the Hamiltonian Mean-Field model

Details Numerical resolution of the Vlasov equation for the Hamiltonian Mean-Field model Numerical resolution of the Vlasov equation for the Hamiltonian Mean-Field model

2009-05-22

arxiv.org/abs/0905.3647v1

Commun. Nonlinear Sci. Numer. Simulat. 15, 2133-2139 (2010)

Physics

Computational Physics

9 pages. Submitted to Communications in Nonlinear Science and Numerical Simulation

Scientific paper

10.1016/j.cnsns.2009.08.020

We present in this paper detailed numerical Vlasov simulations of the Hamiltonian Mean-Field model. This model is used as a representative of the class of systems under long-range interactions. We check existing results on the stability of the homogeneous situation and analyze numerical properties of the semi-Lagrangian time-split algorithm for solving the Vlasov equation. We also detail limitations due to finite resolution of the method.

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