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Sensitivity of convective structures to mean flow boundary conditions: A correlation between symmetry and dynamics
Author(s) -
Alain Pocheau,
F. Daviaud
Publication year - 1997
Publication title -
physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics
Language(s) - English
Resource type - Journals
eISSN - 1095-3787
pISSN - 1063-651X
DOI - 10.1103/physreve.55.353
Subject(s) - symmetry (geometry) , physics , convection , flow (mathematics) , boundary (topology) , work (physics) , focus (optics) , mechanics , dynamics (music) , boundary value problem , sensitivity (control systems) , symmetry breaking , statistical physics , classical mechanics , geometry , mathematical analysis , mathematics , optics , thermodynamics , quantum mechanics , electronic engineering , acoustics , engineering
International audienceVarious simple structures have been proposed for modeling the transition to time dependence of convective patterns in extended geometries. In order to further question their relevance to the dynamics of complex structures ͑textures͒, we introduce a change of boundary conditions from both an experimental and a theoretical side. It consists in keeping the same roll structure but in separating the boundaries of the mean flows from those of the roll flows. This induces negligible effects on symmetric structures ͑straight rolls and foci͒ but dramatic changes on asymmetric ones ͑focus pairs and textures͒, especially regarding the onset of time dependence. Both kinds of sensitivity to this change of boundary conditions are recovered from the Cross-Newell equations. They reveal a correlation between symmetry and dynamics that prevents symmetric structures from modeling asymmetric ones. On the opposite side, they point to focus pairs as a plausible prototype of the mechanisms of time-dependence at work in textures

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