R. Thouy et R. Jullien, STRUCTURE AND DYNAMICS OF FRACTAL AGGREGATES WITH TUNABLE FRACTAL DIMENSION, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 77(2), 1998, pp. 321-331
A cluster-cluster aggregation model is introduced, the variable-D mode
l, which is able to build aggregates, either on lattice or off lattice
, with various fractal dimensions ranging from 1 up to 2.5. This model
is systematically used to investigate several characteristics of the
aggregates as a function of their fractal dimensions, namely their int
rinsic anisotropy coefficient and their density of vibrational states,
calculated using a fast 'spectral moments' method, with interactions
represented by the Born scalar model.