Vlasov theory of plasma oscillations: linear-approximation

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dc.contributorVirginia Techen
dc.contributor.authorArthur, Michael D.en
dc.contributor.authorGreenberg, Williamen
dc.contributor.authorZweifel, Paul F.en
dc.contributor.departmentMathematicsen
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:21Zen
dc.date.available2014-04-24T18:34:21Zen
dc.date.issued1977en
dc.description.abstractA functional analytic approach to the linearized collisionless Vlasov equation is presented utilizing a resolvent integration technique on the resolvent of the transport operator evaluated at a particular point. Formulae for the eigenfunction expansion are found for cases in which the plasma disperion function _ has first and second order zeroes. Special care is taken in the study of real zeroes of _ culminating in new results for this case. For a simple zero of _ with nonvanishing imaginary part the van Kampen-Case discrete modes are reproduced. The results are used to obtain the solution to the initial value problem.en
dc.identifier.citationArthur, M. D.; Greenberg, W.; Zweifel, P. F., "Vlasov theory of plasma oscillations: linear-approximation," Phys. Fluids 20, 1296 (1977); http://dx.doi.org/10.1063/1.862000en
dc.identifier.doihttps://doi.org/10.1063/1.862000en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47672en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof1/20/8/10.1063/1.862000en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.holderAIP Publishingen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleVlasov theory of plasma oscillations: linear-approximationen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden

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