Note on Critical Concentrations in Magnetism

Abstract

In a recent paper, the Bethe-Peierls-Weiss (BPW) method has been applied to the problem of dilute magnetism, taking into account the fluctuation in the number of magnetic atoms interacting with the BPW cluster. The results given differ considerably from those of Smart who assumed a uniform molecular field. We show that this difference is due to an error in the former calculation and prove that fluctuations of a general kind in the molecular field have no effect upon the BPW result.