PT - JOURNAL ARTICLE
AU -
AU -
TI - The surface statistics of a granular aggregate
DP - 1982 May 08
TA - Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
PG - 17--31
VI - 381
IP - 1780
4099 - http://rspa.royalsocietypublishing.org/content/381/1780/17.short
4100 - http://rspa.royalsocietypublishing.org/content/381/1780/17.full
SO - Proc R Soc Lond A Math Phys Sci1982 May 08; 381
AB - The problem of the surface fluctuations in a settled granular material is posed. A simple model is given which describes the process by which a particle settles and comes to rest on the existing surface of the packing and from this a set of Langevin equations for the Fourier modes of the surface are derived. These equations imply that the Fourier amplitudes behave like the velocities of a set of independent Brownian particles. We show that this results in logarithmically divergent surface fluctuations if the flux of particles onto the surface is random, the divergence being removed by a more accurate description of the settling material, for example by having the granules fall through a sieve.