Localized Waves without the Existence of Extended Waves: Oscillatory Convection of Binary Mixtures with Strong Soret Effect

Details Localized Waves without the Existence of Extended Waves: Oscillatory Convection of Binary Mixtures with Strong Soret Effect Localized Waves without the Existence of Extended Waves: Oscillatory Convection of Binary Mixtures with Strong Soret Effect

2002-07-24

arxiv.org/abs/nlin/0207044v1

Phys. Rev. Lett. 89, 054502 (2002)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages text. The high quality figures can be downloaded at http://www.uni-saarland.de/fak7/luecke/publications.html

Scientific paper

10.1103/PhysRevLett.89.054502

Spatially confined solutions of traveling convection rolls are determined numerically for binary mixtures like ethanol-water. The appropriate field equations are solved in a vertical crossection of the rolls perpendicular to their axes subject to realistic horizontal boundary conditions. The localized convective states are stably and robustly sustained by strongly nonlinear mixing and complex flow-induced concentration redistribution. We elucidate how this enables their existence for strongly negative separation ratios at small subcritical heating rates below the saddle-node of extended traveling convection rolls where the quiescent fluid is strongly stable.

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