Movie 1 illustrates the dynamics of an exothermic front without solutal coupling that is traveling through an initially motionless fluid in a shallow two-dimensional layer.  (top) The time variation of the concentration field where red is pure products, blue is pure reactants, and the yellow/green regions indicate where the reaction is occurring. The horizontal white line indicates the mid-plane at z = 1/2 which is used to make the space-time plot. (left) The space-time plot showing the variation of the concentration at the mid-plane as a function of time. The horizontal white line moves from top to bottom as a function of time. (right) The variation of the front velocity with time. The open circle moves from left to right as function of time. The three panels are synchronized in time. Simulation parameters: η = 50, Ras= 0, RaT = 1000.

Movie 2 illustrates the dynamics of an exothermic front with cooperative solutal coupling (left column) or with antagonistic solutal coupling (right column) traveling through an initially motionless fluid in a shallow two-dimensional layer. Each column contains a movie of the concentration field (top) showing a front traveling from left to right. The horizontal white line indicates the location of the mid-plane at z = 1/2 which is used to make the space-time plot shown in the middle. The horizontal white line moves downward in the space-time plot as a function of time. At the bottom of each column are plots of the time variation of the front velocity and the phase portrait. Open circles traverse the curves as a function of time. In all panels time is synchronized to allow for direct comparisons. Color represents concentration where red is pure products and blue is pure reactants.  Cooperative coupling: η = 50, Ras = 300, RaT= 1000. Antagonistic coupling: η = 50, Ras= -300, RaT= 1000.

Movie 3 illustrates the dynamics of an exothermic front with cooperative solutal coupling (left column) or with antagonistic solutal coupling that is traveling through a two-dimensional cellular flow field generated by Rayleigh-Benard convection. This movie uses the same conventions described in the caption of Movie 2. Cooperative coupling: η = 50, Ras = 300, RaT = 3000. Antagonistic coupling: η = 50, Ras = -300, RaT = 3000.