Numerical resolution of the Vlasov equation for the Hamiltonian Mean-Field model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Affiliation:	1. Department of Physics, Nasarawa State University Keffi, Nasarawa State, Nigeria;2. Department of Mechanical and Mechatronics Engineering, Afe Babalola University, P. M. B. 5454, Ado Ekiti, Nigeria;3. School of Engineering and Sustainable Development, De Montfort University, Leicester, United Kingdom;4. Department of Electrical and Information Engineering, Landmark University, P.M.B 1001, Omu-Aran, Kwara State, Nigeria;5. Landmark University SDG 9 (Industry, Innovation, and Infrastructure Research Group;6. Landmark University SDG 11 (Sustainable Cities and Communities Research Group

Abstract:	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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