  For quantum lattice systems a Boltzmann-type evolution arrises according to
results of Hugenholtz in the limit of N-scaled time evolution together with an
interaction scaled as N^-1/2. According ti Illner-Neunzert this passage to an
irreversible dynamics can only happen when the initial state satisfies stronger
assumptions than the evolved state. We show that the initial state satisfies
space clustering as it is necessary for the construction of a fluctuation
algebra whereas the evolved state allows fluctuations only in an appropriate
local scaling but not on a mesoscopic level.
