Non-modal stability analysis and transient growth in a magnetized Vlasov plasma

Handle URI:
http://hdl.handle.net/10754/563908
Title:
Non-modal stability analysis and transient growth in a magnetized Vlasov plasma
Authors:
Ratushnaya, V.; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
Collisionless plasmas, such as those encountered in tokamaks, exhibit a rich variety of instabilities. The physical origin, triggering mechanisms and fundamental understanding of many plasma instabilities, however, are still open problems. We investigate the stability properties of a 3-dimensional collisionless Vlasov plasma in a stationary homogeneous magnetic field. We narrow the scope of our investigation to the case of Maxwellian plasma and examine its evolution with an electrostatic approximation. For the first time using a fully kinetic approach we show the emergence of the local instability, a transient growth, followed by classical Landau damping in a stable magnetized plasma. We show that the linearized Vlasov operator is non-normal leading to the algebraic growth of the perturbations using non-modal stability theory. The typical time scales of the obtained instabilities are of the order of several plasma periods. The first-order distribution function and the corresponding electric field are calculated and the dependence on the magnetic field and perturbation parameters is studied. Our results offer a new scenario of the emergence and development of plasma instabilities on the kinetic scale.
KAUST Department:
Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division; Clean Combustion Research Center; Fluid and Plasma Simulation Group (FPS)
Publisher:
IOP Publishing
Journal:
EPL (Europhysics Letters)
Issue Date:
1-Dec-2014
DOI:
10.1209/0295-5075/108/55001
ARXIV:
arXiv:1408.6631
Type:
Article
ISSN:
02955075
Additional Links:
http://arxiv.org/abs/arXiv:1408.6631v1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Clean Combustion Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorRatushnaya, V.en
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2015-08-03T12:19:09Zen
dc.date.available2015-08-03T12:19:09Zen
dc.date.issued2014-12-01en
dc.identifier.issn02955075en
dc.identifier.doi10.1209/0295-5075/108/55001en
dc.identifier.urihttp://hdl.handle.net/10754/563908en
dc.description.abstractCollisionless plasmas, such as those encountered in tokamaks, exhibit a rich variety of instabilities. The physical origin, triggering mechanisms and fundamental understanding of many plasma instabilities, however, are still open problems. We investigate the stability properties of a 3-dimensional collisionless Vlasov plasma in a stationary homogeneous magnetic field. We narrow the scope of our investigation to the case of Maxwellian plasma and examine its evolution with an electrostatic approximation. For the first time using a fully kinetic approach we show the emergence of the local instability, a transient growth, followed by classical Landau damping in a stable magnetized plasma. We show that the linearized Vlasov operator is non-normal leading to the algebraic growth of the perturbations using non-modal stability theory. The typical time scales of the obtained instabilities are of the order of several plasma periods. The first-order distribution function and the corresponding electric field are calculated and the dependence on the magnetic field and perturbation parameters is studied. Our results offer a new scenario of the emergence and development of plasma instabilities on the kinetic scale.en
dc.publisherIOP Publishingen
dc.relation.urlhttp://arxiv.org/abs/arXiv:1408.6631v1en
dc.titleNon-modal stability analysis and transient growth in a magnetized Vlasov plasmaen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentClean Combustion Research Centeren
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)en
dc.identifier.journalEPL (Europhysics Letters)en
dc.identifier.arxividarXiv:1408.6631en
kaust.authorSamtaney, Ravien
kaust.authorRatushnaya, V.en
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