The distribution of internal fields in dilute magnetic alloys

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Abstract
The calculation of the distribution of internal fields in a dilute magnetic alloy is a difficult problem and requires extensive numerical computation. The author presents a treatment based on a simple model of nearest neighbour RKKY interactions which allows us to calculate the distribution in closed form. This enables us to makes comparisons between different alloys and different impurity concentrations of the same alloy. The distribution function is double humped has a 'width' proportional to the impurity concentration and a zero field value inversely proportional to the width. It gives good agreement with experiment. Different measures of the term 'mean internal field' must be considered when applying the theory to different transport parameters.