Transient growth of a Vlasov plasma in a weakly inhomogeneous magnetic field

Handle URI:
http://hdl.handle.net/10754/622672
Title:
Transient growth of a Vlasov plasma in a weakly inhomogeneous magnetic field
Authors:
Ratushnaya, Valeria; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
We investigate the stability properties of a collisionless Vlasov plasma in a weakly inhomogeneous magnetic field using non-modal stability analysis. This is an important topic in a physics of tokamak plasma rich in various types of instabilities. We consider a thin tokamak plasma in a Maxwellian equilibrium, subjected to a small arbitrary perturbation. Within the framework of kinetic theory, we demonstrate the emergence of short time scale algebraic instabilities evolving in a stable magnetized plasma. We show that the linearized governing operator (Vlasov operator) is non-normal leading to the transient growth of the perturbations on the time scale of several plasma periods that is subsequently followed by Landau damping. We calculate the first-order distribution function and the electric field and study the dependence of the transient growth characteristics on the magnetic field strength and perturbation parameters of the system. We compare our results with uniformly magnetized plasma and field-free Vlasov plasma.
KAUST Department:
Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division
Citation:
Ratushnaya V, Samtaney R (2016) Transient growth of a Vlasov plasma in a weakly inhomogeneous magnetic field. Physics of Plasmas 23: 122116. Available: http://dx.doi.org/10.1063/1.4972083.
Publisher:
AIP Publishing
Journal:
Physics of Plasmas
Issue Date:
17-Dec-2016
DOI:
10.1063/1.4972083
Type:
Article
ISSN:
1070-664X; 1089-7674
Sponsors:
King Abdullah University of Science and Technology
Additional Links:
http://aip.scitation.org/doi/10.1063/1.4972083
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorRatushnaya, Valeriaen
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2017-01-09T13:26:09Z-
dc.date.available2017-01-09T13:26:09Z-
dc.date.issued2016-12-17en
dc.identifier.citationRatushnaya V, Samtaney R (2016) Transient growth of a Vlasov plasma in a weakly inhomogeneous magnetic field. Physics of Plasmas 23: 122116. Available: http://dx.doi.org/10.1063/1.4972083.en
dc.identifier.issn1070-664Xen
dc.identifier.issn1089-7674en
dc.identifier.doi10.1063/1.4972083en
dc.identifier.urihttp://hdl.handle.net/10754/622672-
dc.description.abstractWe investigate the stability properties of a collisionless Vlasov plasma in a weakly inhomogeneous magnetic field using non-modal stability analysis. This is an important topic in a physics of tokamak plasma rich in various types of instabilities. We consider a thin tokamak plasma in a Maxwellian equilibrium, subjected to a small arbitrary perturbation. Within the framework of kinetic theory, we demonstrate the emergence of short time scale algebraic instabilities evolving in a stable magnetized plasma. We show that the linearized governing operator (Vlasov operator) is non-normal leading to the transient growth of the perturbations on the time scale of several plasma periods that is subsequently followed by Landau damping. We calculate the first-order distribution function and the electric field and study the dependence of the transient growth characteristics on the magnetic field strength and perturbation parameters of the system. We compare our results with uniformly magnetized plasma and field-free Vlasov plasma.en
dc.description.sponsorshipKing Abdullah University of Science and Technologyen
dc.publisherAIP Publishingen
dc.relation.urlhttp://aip.scitation.org/doi/10.1063/1.4972083en
dc.rightsArchived with thanks to Physics of Plasmasen
dc.titleTransient growth of a Vlasov plasma in a weakly inhomogeneous magnetic fielden
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalPhysics of Plasmasen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorRatushnaya, Valeriaen
kaust.authorSamtaney, Ravien
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.