a new classical-quantum model for comparing the magnetization of ferromagnetic and superparamagnetic nanoparticles during magnetic hyperthermia

In the present work, for the first time, a classical-quantum model is established for comparing the magnetization of ferromagnetic/ superparamagnetic nanoparticles under ac magnetic fields (during the magnetic hyperthermia process). for this purpose, the fundamental brillouin function was used and the physical properties of ferromagnetic and superparamagnetic nanoparticles were separated using this function. in the following, using the presented model, the magnetization of magnetic nanoparticles was compared under ac magnetic field. the results showed that in both classical and quantum states, the magnetization of ferromagnetic nanoparticles under an ac magnetic field was higher than that of superparamagnetic ones. also, to confirm the correctness of the presented model, the output of the model was adapted to the curie law in the classical mode and the curie-weiss law in the quantum mode. the correspondence between the magnetization obtained from the proposed model and the magnetization obtained from the weiss molecular field was also confirmed.