Abstract: The model on self-adjusted growth of clusters was analysed and the morphologic characteristics of the cluster growth was obtained under the field of homogeneous probability-density with respect to diffusion of particles.The physical meanings of fractal dimensions characterizing the morphologic structure of clusters were revealed, which indicated the extent of the clusters self-adjusting and the interaction between the particles.Furthermore, the effects of the lattice models on the forms of the cluster growth and dynamic properties of the growth model were also investigated.

Key words: Cluste growth, Self-adjusted growth of clusters, The field of homogeneous probabil-ity-density