Matched pair analysis of the Vlasov plasma

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dc.authorid0000-0002-6766-0287
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2025-10-07T07:46:06Z
dc.date.available2025-10-07T07:46:06Z
dc.date.issued2021-02-09
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.descriptionThe first named author (OE) is grateful to Prof. Hasan Guemral for enlightening discussions on the Vlasovplasma especially for momentum-Vlasov dynamics. OE is also grateful to Prof. Miroslav Grmela, Prof.Michal Pavelka, Prof. Petr Vagner for enlightening discussions on (ir)reversible plasma dynamics. Both authors are grateful Prof. Mansur Ismailov for discussions done on some functional analytical details. Both authors gratefully acknowledge the support by TUBITAK (the Scientific and Technological Research Council of Turkey) under the project "Matched pairs of Lagrangian and Hamiltonian Systems" with the project number 117F426.en_US
dc.description.abstractWe present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (Lie-Poisson) systems as couplings of mutually interacting (Lie-Poisson) subdynamics. The mutual interaction is beyond the well-known semi-direct product theory. Accordingly, as the geometric framework of the present discussion, we address the matched pair Lie-Poisson formulation allowing mutual interactions. Moreover, both for the kinetic moments and the Vlasov plasma cases, we observe that one of the constitutive subdynamics is the compressible isentropic fluid flow, and the other is the dynamics of the kinetic moments of order > 2. In this regard, the algebraic/geometric (matched pair) decomposition that we offer, is in perfect harmony with the physical intuition. To complete the discussion, we present a momentum formulation of the Vlasov plasma, along with its matched pair decomposition.en_US
dc.description.sponsorshipTUBITAK (the Scientific and Technological Research Council of Turkey)en_US
dc.description.versionPreprint's Versionen_US
dc.identifier.citationEsen, O. & Sütlü, S. (2021). Matched pair analysis of the Vlasov plasma. Arxiv, 1-39. doi: https://doi.org/10.48550/arXiv.2004.12595en_US
dc.identifier.endpage39
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/6749
dc.identifier.urihttps://doi.org/10.48550/arXiv.2004.12595
dc.identifier.wosPPRN:10666766
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPreprint Citation Indexen_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.publisherCornell Univen_US
dc.relation.ispartofArxiven_US
dc.relation.publicationcategoryÖn Baskı – Uluslararası – Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectVlasov plasmaen_US
dc.subjectMatched pair Lie algebraen_US
dc.subjectLie-Poisson equationen_US
dc.titleMatched pair analysis of the Vlasov plasmaen_US
dc.typePreprinten_US
dspace.entity.typePublicationen_US

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