Transition to spatiotemporal chaos in the damped Kuramoto-Sivashinsky equation

K. R. Elder, J. D. Gunton, Nigel Goldenfeld

Research output: Contribution to journalArticlepeer-review

Abstract

The transition from a lamellar or periodic state to spatiotemporal chaos was examined numerically in the damped Kuramoto-Sivashinsky equation. The behavior of several quantities was examined near the transition as the system size was doubled five times and no systematic changes were observed. Thus there was no evidence to support a divergence at the transition in the infinite system size limit. This provides strong evidence of a discontinuous transition.

Original languageEnglish (US)
Pages (from-to)1631-1634
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number2
DOIs
StatePublished - 1997

ASJC Scopus subject areas

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

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