Aspects of relativistic Hamiltonian physics

dc.contributor.advisorMorrison, Philip J.en
dc.contributor.committeeMemberShepley, Lawrenceen
dc.contributor.committeeMemberRindler, Wolfgangen
dc.contributor.committeeMemberMahajan, Swadeshen
dc.contributor.committeeMemberHazeltine, Richarden
dc.contributor.committeeMemberShvets, Gennadyen
dc.creatorD'Avignon, Eric Cavellen
dc.creator.orcid0000-0001-5272-3428en
dc.date.accessioned2015-10-12T15:27:32Zen
dc.date.available2015-10-12T15:27:32Zen
dc.date.issued2015-08en
dc.date.submittedAugust 2015en
dc.date.updated2015-10-12T15:27:32Zen
dc.descriptiontexten
dc.description.abstractThis dissertation presents various new results in relativistic Hamiltonian plasma physics. It begins with an overview of Hamiltonian physics, with an emphasis on noncanonical brackets, and presents various nonrelativistic systems to be generalized later on. There then follows an exposition on action principles for Hall and Extended MHD, which allow the derivation of the noncanonical Hamiltonian brackets for those systems. I next discuss the transition to relativistic Hamiltonian systems, and the special difficulties that arise in this step. A detailed exploration of relativistic Hamiltonian MHD follows, using a novel bracket formulation. This chapter also investigates alternative brackets, gauge degeneracies, and Casimir invariants. Next I lay out the connection between Lagrangian and Eulerian MHD (both in Hamiltonian forms), and present some early work on a bracket-based formulation of the relativistic Navier-Stokes equation. The next chapters develop various results using an antisymmetric relativistic spin tensor, and several unexpected and intriguing physical consequences of the Jacobi identity. I conclude with a program of future research and several useful appendices.en
dc.description.departmentPhysicsen
dc.format.mimetypeapplication/pdfen
dc.identifierdoi:10.15781/T2PC83en
dc.identifier.urihttp://hdl.handle.net/2152/31649en
dc.language.isoenen
dc.subjectMagnetohydrodynamicsen
dc.subjectHamiltonian formalismen
dc.subjectAction principleen
dc.subjectKinetic theoryen
dc.subjectRelativistic spinen
dc.subjectJacobi identityen
dc.subjectPoisson bracketsen
dc.subjectPlasma theoryen
dc.titleAspects of relativistic Hamiltonian physicsen
dc.typeThesisen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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