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physics.plasm-phDec 16, 2014
9
citations (OpenAlex)
authors
  • Alessandro Zocco
institutions
  • Max Planck Institute for Plasma Physics
  • Max Planck Institute for Plasma Physics - Greifswald
  • Max Planck Society
arXiv abstractPDF
paper

Linear Collisionless Landau Damping in Hilbert Space

arXiv:1412.4913 · doi:10.1017/S0022377815000331

Abstract

The equivalence between the Laplace transform [Landau L., J. Phys. USSR, 10 (1946), 25] and Hermite transform [Zocco and Schekochihin, Phys. Plasmas, 18, 102309 (2011)] solutions of the linear collisionless Landau damping problem is proven.

References in corpus (6)

  • Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
  • Reduced fluid-kinetic equations for low-frequency dynamics, magnetic reconnection and electron heating in low-beta plasmas
  • Fast collisionless reconnection and electron heating in strongly magnetized plasmas
  • Fourier-Hermite spectral representation for the Vlasov-Poisson system in the weakly collisional limit
  • Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas
  • Unified theory of the semi-collisional tearing mode and internal kink mode in a hot tokamak: implications for sawtooth modelling

Cited by in corpus (3)

  • Viriato: a Fourier-Hermite spectral code for strongly magnetised fluid-kinetic plasma dynamics
  • From one-dimensional fields to Vlasov equilibria: Theory and application of Hermite polynomials
  • The inverse problem for collisionless plasma equilibria
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