Abstract
Fractions of a granular material are mixed in a cylinder rotating slowing about its horizontally oriented longitudinal axis. The cylinder is not completely full, and at any instant, mixing occurs only on the free surface of the material. The complete dependence of the characteristic time of such so-called avalanche mixing on the fill level of the cylinder is constructed within a simple geometric approach. This dependence faithfully describes the actual experimental curve. Near the critical point of half-filling, at which mixing to a homogeneous state does not occur, the reciprocal of the characteristic mixing time is proportional to δ2 ln(|δ|−1), where δ is the deviation of the fill level from half-filling.
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