First order phase transition resulting from finite inertia in coupled oscillator systems

Hisa Aki Tanaka, Allan J. Lichtenberg, Shin’ichi Oishi

研究成果: Article査読

147 被引用数 (Scopus)

抄録

We analyze the collective behavior of a set of coupled damped driven pendula with finite (large) inertia, and show that the synchronization of the oscillators exhibits a first order phase transition synchronization onset, substantially different from the second order transition obtained in the case of no inertia. There is hysteresis between two macroscopic states, a weakly and a strongly coherent synchronized state, depending on the coupling and the initial state of the oscillators. A self-consistent theory is shown to determine these cooperative phenomena and to predict the observed numerical data in specific examples.

本文言語English
ページ(範囲)2104-2107
ページ数4
ジャーナルPhysical Review Letters
78
11
DOI
出版ステータスPublished - 1997

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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