A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions

Takayuki Umeda; Shuichi Matsukiyo; Takanobu Amano; Yoshizumi Miyoshi

doi:10.1063/1.4736848

A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions

Takayuki Umeda, Shuichi Matsukiyo, Takanobu Amano, Yoshizumi Miyoshi

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

22 Citations (Scopus)

Abstract

A positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as due to a loss cone or ring velocity distribution, can become a free energy source for the excitation of various plasma waves. Since there exists no analytic expression for integrals of Maxwellian ring velocity distribution functions, their linear properties have previously been studied using several approximations or modeled distributions. In this paper, a numerical method for analyzing the linear dispersion relation for Maxwellian ring-beam velocity distributions is developed. The obtained linear properties are confirmed by direct comparison with full particle simulation results.

Original language	English
Article number	072107
Journal	Physics of Plasmas
Volume	19
Issue number	7
DOIs	https://doi.org/10.1063/1.4736848
Publication status	Published - Jul 2012

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.4736848

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title = "A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions",

abstract = "A positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as due to a loss cone or ring velocity distribution, can become a free energy source for the excitation of various plasma waves. Since there exists no analytic expression for integrals of Maxwellian ring velocity distribution functions, their linear properties have previously been studied using several approximations or modeled distributions. In this paper, a numerical method for analyzing the linear dispersion relation for Maxwellian ring-beam velocity distributions is developed. The obtained linear properties are confirmed by direct comparison with full particle simulation results.",

author = "Takayuki Umeda and Shuichi Matsukiyo and Takanobu Amano and Yoshizumi Miyoshi",

note = "Funding Information: This work was supported by MEXT/JSPS under Grant-in-Aid for Scientific Research on Innovative Areas No. 21200050. The computer simulations are performed on the DELL PowerEdge R815 supercomputer system at Solar-Terrestrial Environment Laboratory in Nagoya University as a computational joint research program.",

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T1 - A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions

AU - Umeda, Takayuki

AU - Matsukiyo, Shuichi

AU - Amano, Takanobu

AU - Miyoshi, Yoshizumi

N1 - Funding Information: This work was supported by MEXT/JSPS under Grant-in-Aid for Scientific Research on Innovative Areas No. 21200050. The computer simulations are performed on the DELL PowerEdge R815 supercomputer system at Solar-Terrestrial Environment Laboratory in Nagoya University as a computational joint research program.

PY - 2012/7

Y1 - 2012/7

N2 - A positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as due to a loss cone or ring velocity distribution, can become a free energy source for the excitation of various plasma waves. Since there exists no analytic expression for integrals of Maxwellian ring velocity distribution functions, their linear properties have previously been studied using several approximations or modeled distributions. In this paper, a numerical method for analyzing the linear dispersion relation for Maxwellian ring-beam velocity distributions is developed. The obtained linear properties are confirmed by direct comparison with full particle simulation results.

AB - A positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as due to a loss cone or ring velocity distribution, can become a free energy source for the excitation of various plasma waves. Since there exists no analytic expression for integrals of Maxwellian ring velocity distribution functions, their linear properties have previously been studied using several approximations or modeled distributions. In this paper, a numerical method for analyzing the linear dispersion relation for Maxwellian ring-beam velocity distributions is developed. The obtained linear properties are confirmed by direct comparison with full particle simulation results.

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A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions

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