Consider a metal-ion catalyzed oxidation of organic compounds (we
shall not enter in the datails of the system compounds; more
information, see C & H; Pomeau). The system is unstirred and in a
steady-state. We can produce a small disturbance (i.e.: a localized
perturbation) in the system propagating with constant
velocity and constant shape, i.e., in the form of a circular pulse. If
the steady-state is red, say, the pulse appear as a blue disturbance
which decays back red behind the pulse. Matemathically, this means we
have a bi-stable system, i.e., there are two solutions co-existing.
With a more complex initial condition, we can produce a lot of localized
perturbations intercepting each other. Destruction of one by the others
may be observed in this case (see figure 3). The phenomena observed here is
analogous to vortex formation, where those with more
energy destroy those with less energy.
Even more interesting, is when a single expanding pulse is broken at a
point (including another reagent, for instance): we see then spiral
patterns (figure 4)
Leonardo Gregory Brunnet 2009-08-10