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Onset of stochasticity and the diffusion approximation in drift waves

W Horton1985年Plasma Physics and Controlled FusionIF 2.2出版社

The Hamiltonian structure of the E*B drift equations is exploited to describe the onset of stochasticity for test particles in drift waves. In contrast to a longitudinal plasma wave, a drift wave acts over the entire single particle phase space. This feature precludes a simple use of the techniques presently available for predicting the onset of chaos in Hamiltonian systems. For two drift waves a generalized Chirikov (1979) overlap criterion is derived. The present work gives conditions on the drift wave spectrum for global stochasticity and the validity of the diffusion approximation.

日本語訳

ハミルトン構造のE×Bドリフト方程式を利用して、ドリフト波中のテスト粒子に対するストカスティシティの発生を記述する。縦波プラズマ波とは対照的に、ドリフト波は単一粒子の位相空間全体に作用する。この特徴により、ハミルトン系におけるカオスの発生を予測するために現在利用可能な手法を単純に適用することができない。2つのドリフト波に対して、一般化されたChirikov(1979)重なり基準を導出する。本論文は、ドリフト波スペクトルに対する大域的ストカスティシティの条件と、拡散近似の妥当性に関する条件を与える。

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Drift waves
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