How are the external magnetic field intensity H, magnetisation M and the entropy related to each other? i.e. if I change the magnetic field intensity by dH what will be the change in entropy dS in terms of M.
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Per Kittel's "Elementary Statistical Physics": $$dQ=dU_A+MdH$$. Where $dU_A$ does not include the magnetic field energy as part of the system. An alternative, equivalent, formulation is $$dQ=dU_B-HdM$$ Where $dU_B$ does include the field energy: $U_A=U_B-\mathbf{H \cdot M}$. With $dQ=TdS$, I think you're there... |
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