Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma
Resonance between continuous spectra: Secular behavior of Alfvén waves in a flowing plasma
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连续光谱之间的共振：流动等离子体中阿尔芬波的长期行为
DOI：
10.1063/1.1834591
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发表时间：
2005
影响因子：
2.2
通讯作者：
Z. Yoshida
中科院分区：
文献类型：
--
作者：
M. Hirota;T. Tatsuno;Z. Yoshida
传统的正态分析在预测非自伴随（非厄米）系统中的各种瞬态现象时往往存在不足。拉普拉斯变换能够捕捉一般系统中所有可能的行为。然而，简并本质谱需要仔细分析。流动等离子体中的Alfven波是Alfven奇点合并产生波动的非指数增长的一个例子。利用超函式理论，通过拉普拉斯变换的严格表达式，可以精确地估计谐振奇异模的渐近行为。
Conventional normal mode analysis often falls short in predicting a variety of transient phenomena in a non-self-adjoint (non-Hermitian) system. Laplace transform is capable of capturing all possible behavior in general systems. However, degenerate essential spectra require careful analysis. The Alfven wave in a flowing plasma is an example in which the coalescence of the Alfven singularities yields nonexponential growth of fluctuations. Invoking hyperfunction theory, rigorous expression of the Laplace transform leads to an accurate estimate of the asymptotic behavior of resonant singular modes.