This study presents an analytical investigation of energetic particle-induced geodesic acoustic modes (EGAMs) within a gyro-kinetic model, incorporating finite-orbit-width (FOW) effects up to the second order. The inclusion of second-order FOW effects introduces two distinct types of energetic particle-wave resonances, occurring at and , respectively, where denotes the transit frequency of energetic particles (EPs). It is found that two unstable EGAM branches coexist: a low frequency branch (LFB) characterized by , and a high frequency branch (HFB) marked by . The instability of LFB primarily arises from the resonance , mainly introduced by first-order FOW effects. As a result, the instability of LFB always exists regardless of the presence or absence of second-order FOW effects, and is barely modified by these effects. In contrast, the instability of HFB is exclusively attributed to the resonance induced by second-order FOW effects. Consequently, the HFB exhibits instability in the presence of these effects.
この研究は、有限軌道幅効果を考慮したジャイロ運動論モデルに基づき、エネルギー粒子誘起型地球規模アコースティックモードの解析を行っています。有限軌道幅効果の導入により、2つの不安定モードが共存することが明らかになりました。低周波モードは主に一次の効果によって、高周波モードは二次の効果によって不安定化されます。この知見は、プラズマ中のエネルギー粒子と波動の相互作用の理解に役立ちます。