2006年2月1日
Collective motion as a transient structure in a Hamiltonian dynamical system
Progress of Theoretical Physics Supplement
- ,
- 巻
- 162
- 号
- 開始ページ
- 104
- 終了ページ
- 111
- 記述言語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- DOI
- 10.1143/PTPS.162.104
We survey the recent discovery of the oscillation of macroscopic variables in closed Hamiltonian dynamical systems with mean field coupling, in particular, the mean field XY model. This behavior is observed in a transient state during the relaxation to equilibrium, while the transient time is divergent with the system size. Periodic or quasiperiodic collective motion is sustained, even though each element shows chaotic motion. This collective motion appears through Hopf bifurcation, which is a typical route in low-dimensional dissipative dynamical systems. The collective oscillation is analyzed as a self-consistent solution between excitation of the swing-type mean-field motion and dynamics of each element driven by it. The universality of the phenomenon is also discussed.
- リンク情報
- ID情報
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- DOI : 10.1143/PTPS.162.104
- ISSN : 0375-9687
- eISSN : 1347-4081
- SCOPUS ID : 84964989302