A First Order Phase Transition Resulting from Finite Inertia in Coupled Oscillator Systems

  • Tanaka Hisa-Aki
    Electronics Research Laboratory and Department of Electrical Engineering and Computer Sciences, University of California
  • Lichtenberg Allan J.
    Electronics Research Laboratory and Department of Electrical Engineering and Computer Sciences, University of California
  • Oishi Shin'ichi
    Department of Information and Computer Sciences,Waseda University

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説明

We analyze the collective behavior of a set of coupled damped driven pendula with finite (non-small) inertia, and show that the synchronization of the oscillators exhibits a first order phase transition synchronization onset being substantially different from the second order transition obtained in the limit of no inertia. There is also 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 ls shown to determine these cooperative phenomena and to predict the observed numerical data in specific examples.

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詳細情報 詳細情報について

  • CRID
    1571417127316545152
  • NII論文ID
    110003291732
  • NII書誌ID
    AN10060800
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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