But this problem we can put away if we realize that increasing of order in any system is associated with creating adequate disorder in its environment. The focus of my PhD. work is spontaneous pattern formation in rocks.
Banded rocks are wide-spread in the Earth.
One of the possible processes which may lead to creating such patterns is reaction diffusion. But that is not all. If we know fractal description of such shapes, we can create them and simulate their evolution on computers. I am interested especially in L-systems because of their best convenience for modeling of natural structures. For instance we can simulate dislocation of bands in rocks by fractals similar to Cantor dust.