Magnetization Distribution in Magnetically Diluted Systems with Application to Iron-Palladium

In magnetic systems that have been substitutionally diluted there exists a large number of different magnetic sites the diversity of which is determined by the nature of the magnetic interaction and the statistical fluctuations in the distribution of the magnetic atoms. We have calculated the magnetic and exchange field distributions from the magnetic atom concentration, the lattice structure, and the magnetic interaction potential in a self-consistent way for any temperature below the transition temperature. The calculation has been applied to the case of the hyperfine field distributions observed by nuclear magnetic resonance and by the M\"ossbauer effect in magnetic random substitutional alloys where the interaction is long-range.