The slope of $H∕M$ vs M² isotherms is an accepted criterion used to distinguish first-order--discontinuous magnetic phase transitions from second-order--continuous transitions. This criterion is shown to yield the order of not only simple isolated transitions, but also sequential transitions occurring in the Ni-Mn-Ga system, specifically order-order transitions between two ferromagnetic phases, provided certain constraints are met.
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Zhou et al. (2006) studied this question.
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