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An analysis of entropy production and its evolution in the frequency domain upon application of electromagnetic fields to ferrimagnetic material has been investigated. The spectral entropy of NiZn ferrites doped with different amounts of Yttrium has been studied by numerical simulation. Under the application of an oscillating electromagnetic field, the system is out of equilibrium as there is entropy production due to the dielectric and magnetic polarization. A system subjected to electromagnetic fields    and    at constant temperature  T  has been considered. For the numerical simulation of the behavior of the entropy production due to magnetic relaxation, experimental data have been correlated to a recently published causality model. For the entropy production due to dielectric relaxation, experimental data have been used. Entropy production related to magnetic response could be associated with two mechanisms: domain wall motion and spin rotation. Entropy production related to dielectric processes could be associated with the delay of the different components of the polarizability as a function of the frequency of the applied field and the correlation with the transport charge mechanism in the material. At the frequency range under study, the entropy production due to dielectric relaxation is negligible. Thus entropy spectra could be a suitable tool for the analysis of the ferrimagnetic materials.

Non-equilibrium thermodynamics and entropy production spectra: A tool for the characterization of ferrimagnetic materials