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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 represent...ing 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".show more
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