HR: 0800h
AN: NG41B-0430    [Abstracts]
TI: Nonlinear interaction and interactive states in a simple weak turbulence model by multiply-coupled triplets
AU: * Nariyuki, Y
EM: nariyuki@esst.kyushu-u.ac.jp
AF: ESST,Kyushu,University, 6-1 Kasuga-Koen, Kasuga, 816-8580
AU: Hada, T
EM: hada@esst.kyushu-u.ac.jp
AF: ESST,Kyushu,University, 6-1 Kasuga-Koen, Kasuga, 816-8580
AB: 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. We construct a simple model of weak turbulence by multiply couple such triplets. Interestingly, this simple model has a hierarchy structure that is universal to the complex systems. Numerical study shows that the system exhibits intermittency, and long time evolution is controlled by self-organized criticality (SOC). We discuss statistics of this system by invoking the concept of the "interaction (e.g. flux between the sites)" and the "interactive state (e.g. phase difference among the sites)", and attempt to elucidate the origin of phase coherence, which appears among the eigenmodes sporadically. We also discuss properties of the intermittency observed in the time series data of the system evolution.
DE: 7800 SPACE PLASMA PHYSICS
DE: 2159 Plasma waves and turbulence
DE: 3220 Nonlinear dynamics
SC: Nonlinear Geophysics [NG]
MN: 2004 AGU Fall Meeting