Micromagnetic modelling allows the systematic study of the effects of
particle size and shape on the first-order reversal curve (FORC)
magnetic hysteresis response for magnetite particles in the
single-domain (SD) and pseudo-single domain (PSD) particle size range.
The interpretation of FORCs, though widely used, has been highly
subjective. Here, we use micromagnetics to model randomly oriented
distributions of particles to allow more physically meaningful
interpretations. We show that one commonly found type of PSD particle -
namely single vortex (SV) particles - has far more complex signals than
SD particles, with multiple peaks and troughs in the FORC distribution,
where the peaks have higher switching fields for larger SV particles.
Particles in the SD to SV transition zone have the lowest switching
fields. Symmetrical and prolate particles display similar behavior, with
distinctive peaks forming near the vertical axis of the FORC diagram. In
contrast, highly oblate particles produce ‘butterfly’ structures,
suggesting that these are potentially diagnostic of particle morphology.
We also consider FORC diagrams for distributions of particle sizes and
shapes and produce an online application that users can use to build
their own FORC distributions. There is good agreement between the model
predictions for distributions of particle sizes and shapes, and the
published experimental literature.