Strongly disordered ferromagnetic alloys which exhibit magnetic inhomo
geneities are described in the frame of a generalized Ginzburg-Landau
theory by averaging the Ginzburg-Landau energy of a subsystem with a d
efinite Curie temperature over the Curie temperature of all subsystems
of the inhomogeneous magnetic system. It is shown that this leads to
the rough scaling of a smooth phase transition. Furthermore the distri
bution function of the Curie temperature is derived from the experimen
tal data of the specific heat, the volume thermal expansion coefficien
t and the compressibility.