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Simple 1D Fokker–Planck modelling of ion cyclotron resonance frequency heating at arbitrary cyclotron harmonics accounting for Coulomb relaxation on non-Maxwellian populations

Dirk Van Eester, Ernesto Lerche2011年Plasma Physics and Controlled FusionIF 2.2出版社

A simple method intended to quickly assess the net acceleration of particle populations due to wave heating is proposed. It adopts the philosophy proposed by Stix (1975 Nucl. Fusion15 737; 1992 Waves in Plasmas (New York: AIP) pp 510–3) to compute the 1D distribution function of ion cyclotron resonance frequency heated species, but extends it on various fronts to allow describing tail formation of both minority and majority populations at any cyclotron harmonic. All plasma constituents are evolved by solving a set of coupled Fokker–Planck equations iteratively. As electrons easily reach high velocities, the relativistic collision operator for electron self-collisions has been implemented. Including a constant finite energy confinement time allows us to incorporate local losses qualitatively.

日本語訳

イオンサイクロトロン共鳴周波数で加熱される種の1次元分布関数を計算するために、Stix(1975 Nucl. Fusion15 737; 1992 Waves in Plasmas (New York: AIP) pp 510–3)によって提唱された手法を採用するが、任意のサイクロトロン高調波における少数種および多数種の両方のテール形成を記述できるように、様々な面でこれを拡張する単純な方法を提案する。すべてのプラズマ構成要素は、連立フォッカー・プランク方程式を反復的に解くことによって発展させる。電子は容易に高速度に達するため、電子自己衝突に対する相対論的衝突演算子が実装されている。一定の有限エネルギー閉じ込め時間を含めることで、局所的な損失を定性的に組み込むことが可能となる。

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Cyclotron resonanceIon cyclotron resonanceFokker-Planck
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