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

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    Type
    Article
    Authors
    Ratushnaya, Valeria
    Samtaney, Ravi cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2016-12-17
    Online Publication Date
    2016-12-17
    Print Publication Date
    2016-12
    Permanent link to this record
    http://hdl.handle.net/10754/622672
    
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    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.
    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.
    Sponsors
    King Abdullah University of Science and Technology
    Publisher
    AIP Publishing
    Journal
    Physics of Plasmas
    DOI
    10.1063/1.4972083
    Additional Links
    http://aip.scitation.org/doi/10.1063/1.4972083
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.4972083
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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