Stable Distribution Analysis of Internal Field Distribution in Au(Fe) Spin Glass System. I. Variation of the Distribution with Concentration

Abstract

Internal field distributions in Au(Fe) spin glass systems were evaluated from hyperfine field distributions obtained by Mössbauer spectroscopy. The internal field distributions of the specimens with 5 to 16.8 at.% Fe, are well expressed by stable distributions; limit distributions for the sum of large number of independent variables, defined in the probability theory. The function form of the stable distribution is specified by a characteristic index. Variation of the characteristic index as a function of the Fe concentration was explained by the fact that magnetic atoms are not randomly distributed in a continuum but are located in the lattice points only, as discussed by Klein.