Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-03-09
Phys. Rev. Lett. 92, 254501 (2004)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevLett.92.254501
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. 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 Soret coefficients 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 time-shift by half a period combined with reflexion at midheight of the fluid layer gets broken. Thereafter they terminate by undergoing a period-doubling cascade into chaos.
Jung Donghwa
Luecke Manfred
Matura P.
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