Collective motion in a Hamiltonian dynamical system
Statistical Mechanics
2007-05-23 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.cond-mat/0506261,
title = {Collective motion in a Hamiltonian dynamical system},
author = {Hidetoshi Morita and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:cond-mat/0506261},
year = {2007}
}
Comments
4 pages, 5 figures