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

✍ Scribed by Pierre de Buyl

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
691 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

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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