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

Citation
C. Storm et al., Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states, PHYS REV E, 61(6), 2000, pp. R6063-R6066
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
6
Year of publication
2000
Part
A
Pages
R6063 - R6066
Database
ISI
SICI code
1063-651X(200006)61:6<R6063:UAROVA>2.0.ZU;2-T
Abstract
We investigate the asymptotic relaxation of so-called pulled fronts propaga ting into an unstable state, and generalize the universal algebraic velocit y relaxation of uniformly translating fronts to fronts that generate period ic or even chaotic states. A surprising feature is that such fronts also ex hibit a universal algebraic phase relaxation. For fronts that generate a pe riodic state, like those in the Swift-Hohenberg equation or in a Rayleigh-B enard experiment, this implies an algebraically slow relaxation of the patt ern wavelength just behind the front, which should be experimentally testab le.