Avalanches and scaling collapse in the large- N Kuramoto model

J. Patrick Coleman, Karin A. Dahmen, Richard L. Weaver

Research output: Contribution to journalArticle

Abstract

We study avalanches in the Kuramoto model, defined as excursions of the order parameter due to ephemeral episodes of synchronization. We present scaling collapses of the avalanche sizes, durations, heights, and temporal profiles, extracting scaling exponents, exponent relations, and scaling functions that are shown to be consistent with the scaling behavior of the power spectrum, a quantity independent of our particular definition of an avalanche. A comprehensive scaling picture of the noise in the subcritical finite-N Kuramoto model is developed, linking this undriven system to a larger class of driven avalanching systems.

Original languageEnglish (US)
Article number042219
JournalPhysical Review E
Volume97
Issue number4
DOIs
StatePublished - Apr 27 2018

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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