TITLE

New construction of the magnetohydrodynamic spectrum of stationary plasma flows. II. Rayleigh–Taylor and Kelvin–Helmholtz instability

AUTHOR(S)
Goedbloed, J. P.
PUB. DATE
December 2009
SOURCE
Physics of Plasmas;Dec2009, Vol. 16 Issue 12, p122111
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In a preceding paper [J. P. Goedbloed, Phys. Plasmas 16, 122110 (2009)] a new method was developed to compute the magnetohydrodynamic spectrum of waves and instabilities of stationary plasma flows by means of the construction of the solution paths, Ps and Pu, of stable waves and instabilities in the complex ω plane of an extended boundary value problem and the monotonicity of the alternator R≡ξ/Π (ratio of displacement and total pressure perturbation) along those paths to find the eigenvalues. This method is applied in this paper to explicitly construct the solution paths, and the eigenvalues on it, for a plane gravitating plasma slab with shear flow. The topology of the solution paths for Rayleigh–Taylor and Kelvin–Helmholtz instabilities that are constructed here for the first time exhibits a surprising complexity. This is not a mathematical artifact, but characteristic for the structure of the magnetohydrodynamic spectrum of plasmas with background flow. Hence, its construction is crucial for the success of magnetohydrodynamic spectroscopy, aimed at determining the internal equilibrium characteristics of astrophysical and laboratory fusion plasmas.
ACCESSION #
47244143

 

Related Articles

  • Exact solutions of two complementary one-dimensional quantum many-body systems on the half-line. Hallnäs, Martin; Langmann, Edwin // Journal of Mathematical Physics;May2005, Vol. 46 Issue 5, p052101 

    We consider two particular one-dimensional quantum many-body systems with local interactions related to the root system CN. Both models describe identical particles moving on the half-line with nontrivial boundary conditions at the origin, but in the first model the particles interact with the...

  • NUMERICAL STUDY OF THE ELECTRONIC STATES IN HOLE- AND ELECTRON-DOPED HIGH-TC CUPRATES. Tohyama, Takami // International Journal of Modern Physics B: Condensed Matter Phys;1/30/2005, Vol. 19 Issue 1-3, p115 

    We examine the electronic states in the hole- and electron-doped cuprates by using the t-t′-t″-J model. Numerically exact diagonalization method is employed for a 20-site square lattice under twisted boundary conditions. The density of states in the underdoped region clearly shows a...

  • Nonlinear instability of the one-dimensional Vlasov-Yukawa system. Ha, Seung-Yeal; Ha, Taeyoung; Hwang, Chi-Ok; Lee, Ho // Journal of Mathematical Physics;Mar2011, Vol. 52 Issue 3, p033301 

    We discuss the nonlinear instability of some class of stationary solutions to the one-dimensional Vlasov-Yukawa system with a mass parameter m. The Vlasov-Yukawa system corresponds to the short-range correction of the repulsive Vlasov-Poisson system arising from plasma physics. We show that the...

  • Nonlinear Boundary Layers of the Boltzmann Equation: I. Existence. Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien // Communications in Mathematical Physics;Jun2003, Vol. 236 Issue 3, p373 

    : We study the half-space problem of the nonlinear Boltzmann equation, assigning the Dirichlet data for outgoing particles at the boundary and a Maxwellian as the far field. We will show that the solvability of the problem changes with the Mach number M8 of the far Maxwellian. If...

  • On Metastability in FPU. Bambusi, Dario; Ponno, Antonio // Communications in Mathematical Physics;May2006, Vol. 264 Issue 2, p539 

    We present an analytical study of the Fermi�Pasta�Ulam (FPU) a�model with periodic boundary conditions. We analyze the dynamics corresponding to initial data with one low frequency Fourier mode excited. We show that, correspondingly, a pair of KdV equations constitute the resonant...

  • Linear gyrokinetic calculations of toroidal momentum transport in the presence of trapped electron modes in tokamak plasmas. Kluy, N.; Angioni, C.; Camenen, Y.; Peeters, A. G. // Physics of Plasmas;Dec2009, Vol. 16 Issue 12, p122302 

    The toroidal momentum transport in the presence of trapped electron mode microinstabilities in tokamak plasmas is studied by means of quasilinear gyrokinetic calculations. In particular, the role of the Coriolis drift in producing an inward convection of toroidal momentum is investigated. The...

  • Exact Analytical Solutions of Self-Consistent Equations of Plasma Hydrodynamics with Absorbing Boundary Conditions. Fedorov, V. A. // Technical Physics Letters;May2005, Vol. 31 Issue 5, p385 

    Exact analytical solutions of a one-dimensional self-consistent system of nonlinear hydrodynamic equations are obtained for plasma with absorbing boundary conditions on the conducting surface of an insulated body. The electric field strength, electron velocity, and electron density in the plasma...

  • Electron state density and electron diffusion coefficient in energy space in nonideal nonequilibrium plasmas. Bobrov, A. A.; Bronin, S. Ya.; Zelener, B. B.; Zelener, B. V.; Manykin, E. A. // Journal of Experimental & Theoretical Physics;Jul2008, Vol. 107 Issue 1, p147 

    We suggest a model for a hydrogenic low-temperature nonequilibrium nonideal plasma that allows the kinetic parameters of the plasma to be calculated by the method of molecular dynamics by taking into account the interparticle interaction. The charges interact according to Coulomb’s law;...

  • Fully nonlinear features of the energetic beam-driven instability. Lesur, M.; Idomura, Y.; Garbet, X. // Physics of Plasmas;Sep2009, Vol. 16 Issue 9, p092305 

    The so-called Berk–Breizman model is applied to a cold bulk, weak warm beam, one-dimensional plasma, to investigate the kinetic instability arising from the resonance of a single electrostatic wave with an energetic particle beam. A Vlasov code is developed to solve the initial value...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics