A Mean Field Limit for the Hamiltonian Vlasov System
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DOI: 10.1007/s10955-019-02438-6
Abstract: The derivation of effective equations for interacting many body systems has seen a lot of progress in the recent years. While dealing with classical systems, singular potentials are quite challenging (Hauray and Jabin in Annales… read more here.
Keywords: vlasov system; mean field; field limit;
A numerical stability analysis for the Einstein–Vlasov system
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DOI: 10.1088/1361-6382/abcbdf
Abstract: We investigate stability issues for steady states of the spherically symmetric Einstein-Vlasov system numerically in Schwarzschild, maximal areal, and Eddington-Finkelstein coordinates. Across all coordinate systems we confirm the conjecture that the first binding energy maximum… read more here.
Keywords: einstein vlasov; vlasov system; stability;
Dynamics of gravitational collapse in the axisymmetric Einstein–Vlasov system
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DOI: 10.1088/1361-6382/abdd0c
Abstract: We numerically investigate the dynamics near black hole formation of solutions to the Einstein–Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the (2 + 1) +… read more here.
Keywords: vlasov system; dynamics gravitational; collapse axisymmetric; einstein vlasov ... See more keywords
Linear and nonlinear response of the Vlasov system with nonintegrable Hamiltonian.
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DOI: 10.1103/physreve.96.012112
Abstract: Linear and nonlinear response formulas taking into account all Casimir invariants are derived without use of angle-action variables of a single-particle (mean-field) Hamiltonian. This article deals mainly with the Vlasov system in a spatially inhomogeneous… read more here.
Keywords: nonlinear response; linear nonlinear; response; vlasov system ... See more keywords