In this work we discuss the thermodynamics of the magnetocaloric effect around the first- and second-order magnetic phase transitions. We show that, around the second-order phase transition, the magnetocaloric potential ΔS can indeed be determined by using magnetization data through the Maxwell relation. However, around the first-order phase transition, the Maxwell relation is not valid so that the determination of ΔS by using magnetization data is somewhat more complex and should be done very carefully. These statements were verified in a simple model of interacting spins with two energy levels including an extra term to account for the first-order phase transition.
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Oliveira et al. (2008) studied this question.
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