Two fractions of granular material mix in a drum rotating slowly about
its longitudinal axis arranged horizontally. The drum is filled not t
o full capacity, and mixing occurs at each moment of time only on the
free surface of material. It is shown that in a half-filled drum the m
aterial will never reach uniformly mixed state. Near this critical poi
nt, the inverse characteristic mixing time is proportional to delta(2)
ln(\delta\(-1)), where delta is the deviation from the half-fill leve
l. (C) 1997 American Institute of Physics.