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We present a numerical study of the $\Delta H(M,\Delta M)$ method and itsability to accurately determine intrinsic switching field distributions ininteracting granular magnetic materials such as perpendicular recording media.In particular, we study how this methodology fails for large ferromagneticinter-granular interactions, at which point the associated strongly correlatedmagnetization reversal cannot be properly represented by the mean-fieldapproximation, upon which the $\Delta H(M,\Delta M)$ method is based. In thisstudy, we use a 2-dimensional array of symmetric hysterons that have anintrinsic switching field distribution of standard deviation $\sigma$ andferromagnetic nearest-neighbor interactions $J$. We find the $\Delta H(M,\DeltaM)$ method to be very accurate for small $J/\sigma$ values, while substantialerrors develop once the effective exchange field becomes comparable with$\sigma$, corroborating earlier results from micromagnetic simulations. Wefurthermore demonstrate that this failure is correlated with deviations fromdata set redundancy, which is a key property of the mean-field approximation.Thus, the $\Delta H(M,\Delta M)$ method fails in a well defined andquantifiable manner that can be easily assessed from the data sets alone.

Determination of intrinsic switching field distributions in perpendicular recording media: numerical study of the $\Delta H(M, \Delta M)$ method