Collisional resonance function in discreteresonance quasilinear plasma systems
Abstract
In this paper, a method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or FokkerPlanck 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 nearthreshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.
 Authors:

 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Univ. of Texas, Austin, TX (United States)
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1580577
 Alternate Identifier(s):
 OSTI ID: 1576864
 Grant/Contract Number:
 AC0209CH11466
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 12; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Duarte, V. N., Gorelenkov, N. N., White, R. B., and Berk, H. L. Collisional resonance function in discreteresonance quasilinear plasma systems. United States: N. p., 2019.
Web. doi:10.1063/1.5129260.
Duarte, V. N., Gorelenkov, N. N., White, R. B., & Berk, H. L. Collisional resonance function in discreteresonance quasilinear plasma systems. United States. doi:https://doi.org/10.1063/1.5129260
Duarte, V. N., Gorelenkov, N. N., White, R. B., and Berk, H. L. Tue .
"Collisional resonance function in discreteresonance quasilinear plasma systems". United States. doi:https://doi.org/10.1063/1.5129260. https://www.osti.gov/servlets/purl/1580577.
@article{osti_1580577,
title = {Collisional resonance function in discreteresonance quasilinear plasma systems},
author = {Duarte, V. N. and Gorelenkov, N. N. and White, R. B. and Berk, H. L.},
abstractNote = {In this paper, a method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or FokkerPlanck 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 nearthreshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.},
doi = {10.1063/1.5129260},
journal = {Physics of Plasmas},
number = 12,
volume = 26,
place = {United States},
year = {2019},
month = {12}
}
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