Gh. Ristow et Hj. Herrmann, DENSITY PATTERNS IN 2-DIMENSIONAL HOPPERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(1), 1994, pp. 180000005-180000008
Recent experiments by Baxter et al. [Phys. Rev. Lett. 62, 2825 (1989))
showed the existence of density waves in granular material flowing ou
t of a hopper. We show, using molecular dynamics simulations, that thi
s effect is a consequence of static friction and find that these densi
ty fluctuations follow a 1/f(alpha) spectrum. The effect is enhanced w
hen the opening angle of the hopper decreases.