Collective motion in a Hamiltonian dynamical system

2005/06/11 by Hidetoshi Morita, Morita, Hidetoshi, Kunihiko Kaneko +1
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.48550/arxiv.cond-mat/0506261

4 pages, 5 figures

arxiv created 2005/06/11 · openalex publication_date 2005/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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