Analysis of weak turbulence model by multiply coupling triplets of eiganmodes ; nonlinear interaction between elements and the interactive states．

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  • Nariyuki Yasuhiro
    Department of Earth System Science and Technology, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University
  • Hada Tohru
    Department of Earth System Science and Technology, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University

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  • ３波共鳴組多体系による弱乱流モデルの解析 : 非線形相互作用と相対的状態
  • 3パ キョウメイ グミ タタイケイ ニ ヨル ジャク ランリュウ モデル ノ カイセキ ヒセンケイ ソウゴ サヨウ ト ソウタイテキ ジョウタイ

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Abstract

Behavior of a nonlinear system (such as space plasma) is often discussed via evolution of eigenmodes of associated linearized system and nonlinear interactions among them. A minimum unit for representing such a nonlinear interaction is a triplet of eigenmodes, which satisfies the resonance condition. First, we discuss behavior of a triplet in terms of "interaction (e.g. flux between the sites)" and "interactive states (e.g., phase difference among the sites)". Then we construct a simple model of weak turbulence by multiply couple such triplets. Interestingly, this simple model has a hierarchy structure which is universal to the complex systems. Numerical study shows that the system exhibits intemittency and long time evolution is controlled by self-organized criticality. We discuss these specific features of the system by invoking the concept of the "interaction" and the "interactive state".

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