Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states

C. Storm, W. Spruijt, U.M. Ebert, W. Saarloos, van

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
79 Downloads (Pure)

Abstract

We investigate the asymptotic relaxation of so-called pulled fronts propagating into an unstable state, and generalize the universal algebraic velocity relaxation of uniformly translating fronts to fronts that generate periodic or even chaotic states. A surprising feature is that such fronts also exhibit a universal algebraic phase relaxation. For fronts that generate a periodic state, like those in the Swift-Hohenberg equation or in a Rayleigh-Bénard experiment, this implies an algebraically slow relaxation of the pattern wavelength just behind the front, which should be experimentally testable.
Original languageEnglish
Pages (from-to)R6063-R6066
Number of pages4
JournalPhysical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number6
DOIs
Publication statusPublished - 2000

Fingerprint Dive into the research topics of 'Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states'. Together they form a unique fingerprint.

Cite this