Down-hill creep of a granular material under expansion/contraction cycles

We investigate the down-hill creep of an inclined layer of granular material caused by quasi-static oscillatory variations of the size of the particles. The size variation is taken to be maximum at the surface and decreasing with depth, as it may be argued to occur in the case of a granular soil affected by atmospheric conditions. The material is modeled as an athermal two dimensional polydisperse system of soft disks under the action of gravity. The slope angle is below the angle of repose and therefore the system reaches an equilibrium configuration under static external conditions. However, under a protocol in which particles slowly change size in a quasistatic oscillatory way, the system is observed to creep down in a synchronized way with the oscillation. We measure the creep advance per cycle as a function of the slope angle and the degree of change in particle size. We also find that the creep rate is maximum at the surface and smoothly decreases with depth, as it is observed to occur in the field.