Phase transitions in fractal clusters in the presence of electric fields

It is shown that if the size distribution of the nuclei formed during phase transition is a fractal cluster, then the spatial distribution of the elec tric field in the cluster is highly inhomogeneous. Electric field is accumu lated in small scales, and its strength grows according to the power law fr om larger scales to smaller scales. When the dielectric permeability of the nuclei is much larger than that of the surrounding medium, the electric fi eld grows as E proportional to3(k), where k is a number of the nucleus in t he fractal cluster with the sizes a1 much greater than a2 much greater than a3...much greater than ak. We determined the work of formation of the nucl ei in the fractal cluster taking into account the change of the configurati on of electric field E. It is demonstrated that the formation of fractal cl usters leads to the dynamics of a phase transition with bifurcations, where by the growth of a nucleus causes the formation of the new nuclei.