corner
corner

Phys. Rev. Lett. 88, 134501 (2002) [4 pages]

Convective and Absolute Eckhaus Instability Leading to Modulated Waves in a Finite Box

Download: PDF (327 kB) Buy this article Export: BibTeX or EndNote (RIS)

Nicolas Garnier*, Arnaud Chiffaudel, and François Daviaud
Service de Physique de l'État Condensé, DSM, CEA Saclay, CNRS SNC 2005, 91191 Gif-sur-Yvette, France

Received 6 September 2001; published 13 March 2002

We report an experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatiotemporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatiotemporal defects control the global mode structure.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.134501
DOI:
10.1103/PhysRevLett.88.134501
PACS:
47.20.Lz, 05.45.-a, 47.35.+i, 47.54.+r

*Present address: Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430.

Electronic address: arnaud.chiffaudel@cea.fr