  We have performed a numerical simulation of a two-dimensional Eden model with
random-size particles. In the present model, the particle radii are generated
from a Gaussian distribution with mean $\mu$ and standard deviation $\sigma$.
First, we have examined the bulk packing fraction for the Eden cluster and
investigated the effects of the standard deviation and the total number of
particles $N_{\mathrm{T}}$. We show that the bulk packing fraction depends on
the number of particles and the standard deviation. In particular, for the
dependence on the standard deviation, we have determined the asymptotic value
of the bulk packing fraction in the limit of the dimensionless standard
deviation. This value is larger than the packing fraction obtained in a
previous study of the Eden model with uniform-size particles. Secondly, we have
investigated the packing fraction of the entire Eden cluster including the
effect of the interface fluctuation. We find that the entire packing fraction
depends on the number of particles while it is independent of the standard
deviation, in contrast to the bulk packing fraction. In a similar way to the
bulk packing fraction, we have obtained the asymptotic value of the entire
packing fraction in the limit $N_{\mathrm{T}} \to \infty$. The obtained value
of the entire packing fraction is smaller than that of the bulk value. This
fact suggests that the interface fluctuation of the Eden cluster influences the
packing fraction.
