Spatially uniform traveling cellular patterns at a driven interface
- 1 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (1) , 483-493
- https://doi.org/10.1103/physreve.49.483
Abstract
We report on a study of asymmetric, traveling patterns which develop at a driven fluid-air interface in the experimental system known as the printer’s instability. We find that the traveling pattern appears via a supercritical parity-breaking transition, at which the pattern loses its reflection symmetry and begins to drift with constant speed. From measurements of the degree of asymmetry of the drifting pattern as a function of the experimental control parameter, we find that the asymmetry increases with the square root of the control parameter, and that the drift velocity is linear in the asymmetry. This behavior is in accord with recent theoretical predictions. Our results do not agree, however, with the predictions of a model of the parity-breaking transition involving the coupling of spatial modes with wave numbers q and 2q.Keywords
This publication has 43 references indexed in Scilit:
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Hydrodynamic and interfacial patterns with broken space-time symmetryPhysical Review A, 1991
- Parity breaking in eutectic growthPhysical Review Letters, 1990
- Comment on ‘‘Parity-breaking transitions of modulated patterns in hydrodynamic systems’’Physical Review Letters, 1990
- Defects and traveling-wave states in nonequilibrium patterns with broken parityPhysical Review A, 1990
- Instabilities of one-dimensional cellular patternsPhysical Review Letters, 1990
- Parity-breaking transitions of modulated patterns in hydrodynamic systemsPhysical Review Letters, 1989
- Kuramoto–Sivashinsky Dynamics on the Center–Unstable ManifoldSIAM Journal on Applied Mathematics, 1989
- The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonanceJournal of Fluid Mechanics, 1988
- Strong spatial resonance and travelling waves in benard convectionPhysics Letters A, 1987