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Collective motion in a Hamiltonian dynamical system | Hidetoshi Morita
; Kunihiko Kaneko
; | Date: |
11 Jun 2005 | Subject: | Statistical Mechanics; Chaotic Dynamics | cond-mat.stat-mech nlin.CD | Abstract: | Oscillation of macroscopic variables is discovered in a metastable state in the Hamiltonian dynamical system of mean field XY model, the duration of which is divergent with the system size. This long-lasting periodic or quasiperiodic collective motion appears through Hopf bifurcation, which is a typical route in low-dimensional dissipative dynamical systems. The origin of the oscillation is explained, with self-consistent analysis of the distribution function, as the emergence of self-excited ``swings’’ through the mean-field. The universality of the phenomena is also discussed. | Source: | arXiv, cond-mat/0506261 | Services: | Forum | Review | PDF | Favorites |
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