  The steady state of the model of cluster aggregation with deposition is
characterized by a constant flux of mass directed from small masses towards
large masses. It can therefore be studied using phenomenological theories of
turbulence, such as Kolmogorov's 1941 theory. On the other hand, the large
scale behavior of the aggregation model in dimensions lower than or equal to
two is governed by a perturbative fixed point of the renormalization group
flow, which enables an analytic study of the scaling properties of correlation
functions in the steady state. In this paper, we show that the correlation
functions have multifractal scaling, which violates linear Kolmogorov scaling.
The analytical results are verified by Monte Carlo simulations.
