Granular materials(1-5) segregate according to grain size when exposed
to periodic perturbations such as vibrations(6-12). Moreover, mixture
s of grains of different sizes can also spontaneously segregate in the
absence of external perturbations: when such a mixture is simply pour
ed onto a pile, the large grains are more likely to be found near the
base, while the small grains are more likely to be near the top(13-20)
. Here we report another size-separation effect, which arises when we
pour a granular mixture between two vertical plates: the mixture spont
aneously stratifies into alternating layers of small and large grains
whenever the large grains have larger angle of repose than the small g
rains. We find only spontaneous segregation, without stratification, w
hen the large grains have smaller angle of repose than the small grain
s. The stratification is related to the occurrence of avalanches: duri
ng each avalanche, the grains separate into a pair of static layers, w
ith the small grains forming a sublayer underneath the layer of large
grains.