Propagation failure, universal scalings and Goldstone modes

P. G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems.

Original languageEnglish (US)
Pages (from-to)361-369
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume279
Issue number5-6
DOIs
StatePublished - Feb 5 2001

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • Discrete kinks
  • Goldstone modes
  • Universal scalings

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