PMID: 15245013Jul 13, 2004Paper

Standing-wave oscillations in binary mixture convection: from the onset via symmetry breaking to period doubling into chaos

Physical Review Letters
P MaturaM Lücke

Abstract

Oscillatory solution branches of the hydrodynamic field equations describing convection in the form of a standing wave (SW) in binary fluid mixtures heated from below are determined completely for several negative Soret coefficients psi. Galerkin as well as finite-difference simulations were used. They were augmented by simple control methods to obtain also unstable SW states. For sufficiently negative psi, unstable SWs bifurcate subcritically out of the quiescent conductive state. They become stable via a saddle-node bifurcation when lateral phase pinning is exerted. Eventually their invariance under timeshift by half a period combined with reflection at midheight of the fluid layer gets broken. Thereafter, they terminate by undergoing a period-doubling cascade into chaos.

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Citations

Dec 14, 2004·The European Physical Journal. E, Soft Matter·D JungM Lücke
Dec 14, 2004·The European Physical Journal. E, Soft Matter·S DuhrD Braun
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M AugustinM Lücke
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B L Smorodin, M Lücke
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Matura, M Lücke
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B HukeM Lücke
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B HukeM Lücke
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Jung, M Lücke
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B L Smorodin, M Lücke

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