An important industrial problem that provides fascinating puzzles in patter
n formation is the tendency for granular mixtures to de-mix or segregate. S
mall differences in either size or density lead to flow-induced segregation
. Similar to fluids, noncohesive granular materials can display chaotic adv
ection; when this happens chaos and segregation compete with each other, gi
ving rise to a wealth of experimental outcomes. Segregated structures, obta
ined experimentally, display organization in the presence of disorder and a
re captured by a continuum flow model incorporating collisional diffusion a
nd density-driven segregation. Under certain conditions, structures never s
ettle into a steady shape. This may be the simplest experimental example of
a system displaying competition between chaos and order.