Collective Motion as a Transient Structure in a Hamiltonian Dynamical System(COMPLEXITY AND NONEXTENSIVITY:NEW TRENDS IN STATISTICAL MECHANICS)
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概要
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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.
- 理論物理学刊行会の論文
- 2006-06-05
著者
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Kaneko Kunihiko
Department Of Basic Science Graduate School Of Arts And Sciences University Of Tokyo
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Morita Hidetoshi
Faculty Of Agriculture Okayama University
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Morita Hidetoshi
Facul. Of Sci. & Eng. Waseda Univ.
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Morita Hidetoshi
Faculty Of Science And Engineering Waseda University:department Of Basic Science Graduate School Of
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Kaneko Kunihiko
Department Of Basic Science Graduate School Of Arts And Sciences The University Of Tokyo
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Kaneko Kunihiko
Department Of Basic Science Graduate School Of Arts And Science The University Of Tokyo
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MORITA Hidetoshi
Faculty of Science and Engineering, Waseda University:Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo
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KANEKO Kunihiko
Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo
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