Vlasov moments, integrable systems and singular solutions

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dc.creatorGibbons, John
dc.creatorHolm, Darryl D
dc.creatorTronci, Cesare
dc.date2007-05-24
dc.date.accessioned2026-07-07T09:34:45Z
dc.date.available2026-07-07T09:34:45Z
dc.descriptionThe Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the operation of taking the moments of the Vlasov PDF preserves the Lie-Poisson structure. The individual particle motions correspond to singular solutions of the Vlasov equation. The paper focuses on singular solutions of the problem of geodesic motion of the Vlasov moments. These singular solutions recover geodesic motion of the individual particles.
dc.description16 pages, no figures. Submitted to Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/0705.3603
dc.identifierhttp://arxiv.org/abs/0705.3603
dc.identifierdoi:10.1016/j.physleta.2007.08.054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159602
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAccelerator Physics
dc.subjectPlasma Physics
dc.titleVlasov moments, integrable systems and singular solutions
dc.typetext

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