Applying the modified mean-field model to superparamagnetic nanoparticles

Over the past decade, magnetic nanoparticles have been actively used in biomedicine to develop new diagnostic and therapeutic methods based on the magnetic response of tissues/cells with embedded particles. A successful application requires the development of theoretical methods for predicting the properties of magnetic nanoparticle ensembles, taking into account the inherent magnetic interactions between particles. This paper presents a simple and universal modified mean-field approach that considers both the interparticle magnetic interactions in a straightforward manner, appropriate for engineering and biomedical uses, along with the superparamagnetic degrees of freedom of magnetic nanoparticles. The presented approach shows high efficiency in characterizing the static and dynamic magnetic responses of superparamagnetic nanoparticles, whether they are suspended in liquid matrices or fixed in solid materials.