Elimination of hysteresis in a system of coupled Ginzburg-Landau equations
We numerically study the effect of a stabilizing quintic term and a destabilizing cubic term in the coupled Ginzburg-Landau equations that describe the onset of traveling-wave convection in binary fluid mixtures. We present bifurcation diagrams which show that for large enough group velocity and coupling between the counter-propagating traveling waves, the expected hysteresis at onset is not present. We also show how a measure of the convected heat transport and its period vary with scaled Rayleigh number. While this model can explain certain features of recent experiments, a number of difficult issues remain.
Sullivan, Timothy and Deissler, Robert, "Elimination of hysteresis in a system of coupled Ginzburg-Landau equations" (1989). Physical Review A 40(11): 6748-6751. Faculty Publications. Paper 310.
Physical Review A