Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-06-11
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures
Scientific paper
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.
Kaneko Kunihiko
Morita Hidetoshi
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