Front Structures in a Real Ginzburg-Landau Equation Coupled to a Mean Field

Details Front Structures in a Real Ginzburg-Landau Equation Coupled to a Mean Field Front Structures in a Real Ginzburg-Landau Equation Coupled to a Mean Field

1994-01-28

arxiv.org/abs/patt-sol/9401006v1

Int. J. Bif. and Chaos 4 (1994) 1343-1346

Nonlinear Sciences

Pattern Formation and Solitons

to appear in J. Bif. and Chaos, 7 pages (LaTeX) 1 figure

Scientific paper

Localized traveling wave trains or pulses have been observed in various experiments in binary mixture convection. For strongly negative separation ratio, these pulse structures can be described as two interacting fronts of opposite orientation. An analytical study of the front solutions in a real Ginzburg-Landau equation coupled to a mean field is presented here as a first approach to the pulse solution. The additional mean field becomes important when the mass diffusion in the mixture is small as is the case in liquids. Within this framework it can lead to a hysteretic transition between slow and fast fronts when the Rayleigh number is changed.

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