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Due to the toroidal magnetic drift, the Laplace-transformed density and potential perturbations have a branch cut as well as poles on the complex-frequency plane. The inverse Laplace transform shows that the temporal evolution of the density and potential perturbations consists of the normal modes and the continuum mode, which correspond to contributions from the poles and the branch cut, respectively. The normal modes have exponential time dependence with the eigenfrequencies determined by the dispersion relation while the continuum mode shows power-law decay oscillation. 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Initial Value Problem of the Toroidal Ion Temperature Gradient Mode
http://hdl.handle.net/10655/2483
http://hdl.handle.net/10655/2483f27c4f3b-8b7a-4eac-8243-620031006900
Item type | 研究報告書 / Research Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2010-02-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Initial Value Problem of the Toroidal Ion Temperature Gradient Mode | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | ion temperature gradient mode | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | toroidal resonance | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | phase mixing | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | analytic continuation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | branch cut | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | normal mode | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | continuum mode | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
"Kuroda, T.
× "Kuroda, T.× Sugama, H.× Kanno, R.× Okamoto, M.× Horton, W." |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | "The initial value problem of the toroidal ion temperature gradient mode is studied based on the Laplace transform of the ion gyrokinetic equation and the electron Boltzmann relation with the charge neutrality condition. Due to the toroidal magnetic drift, the Laplace-transformed density and potential perturbations have a branch cut as well as poles on the complex-frequency plane. The inverse Laplace transform shows that the temporal evolution of the density and potential perturbations consists of the normal modes and the continuum mode, which correspond to contributions from the poles and the branch cut, respectively. The normal modes have exponential time dependence with the eigenfrequencies determined by the dispersion relation while the continuum mode shows power-law decay oscillation. For the stable case, the long-time asymptotic behavior of the potential and density perturbations is dominated by the continuum mode which decays slower than the normal modes." | |||||
書誌情報 |
en : Research Report NIFS-Series 発行日 1998-06-01 |
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報告書番号 | ||||||
NIFS-551 | ||||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0915-633X |