Collisional resonance function in discrete-resonance quasilinear plasma systems

V. N. Duarte; N. N. Gorelenkov; R. B. White; H. L. Berk

doi:10.1063/1.5129260

Collisional resonance function in discrete-resonance quasilinear plasma systems

V. N. Duarte, N. N. Gorelenkov, R. B. White, H. L. Berk

PPPL Theory

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

A method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering collisions of marginally unstable plasma systems where discrete resonance instabilities are excited without any mode overlap. It is demonstrated that a quasilinear system that employs the calculated broadening functions reported here systematically recovers the growth rate and mode saturation levels for near-threshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.

Original language	English (US)
Article number	120701
Journal	Physics of Plasmas
Volume	26
Issue number	12
DOIs	https://doi.org/10.1063/1.5129260
State	Published - Dec 1 2019

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.5129260

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AU - Duarte, V. N.

AU - Gorelenkov, N. N.

AU - White, R. B.

AU - Berk, H. L.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - A method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering collisions of marginally unstable plasma systems where discrete resonance instabilities are excited without any mode overlap. It is demonstrated that a quasilinear system that employs the calculated broadening functions reported here systematically recovers the growth rate and mode saturation levels for near-threshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.

AB - A method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering collisions of marginally unstable plasma systems where discrete resonance instabilities are excited without any mode overlap. It is demonstrated that a quasilinear system that employs the calculated broadening functions reported here systematically recovers the growth rate and mode saturation levels for near-threshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.

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Collisional resonance function in discrete-resonance quasilinear plasma systems

Abstract

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