Parity-breaking transitions of modulated patterns in hydrodynamic systems
- 30 October 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (18) , 1954-1957
- https://doi.org/10.1103/physrevlett.63.1954
Abstract
A model for subcritical parity-breaking bifurcation of a periodic pattern is introduced. It is found that nucleated regions of the new asymmetric state propagate with a well-defined velocity in a direction determined by their parity, and leave in their wake a pattern with an altered wavelength. Successive passage of these ‘‘parity bubbles’’ enables the system to relax to a selected wavelength. The possible relevance of these findings to recent observations of ‘‘solitary modes’’ in directional solidification and hydrodynamic experiments is discussed.Keywords
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