- #1
ken~flo
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1. In the presence of an internal magnetic field B, the thermodynamic identity for the free energy F is (assuming V is kept constant)
dF = -SdT - MdB
where M is the total magnetic moment (magnetization times volume) of the system. Derive an appropriate Maxwell equation to show that
(dM/dT) = 0
at constant B, T = 0.
2. M = -(dF/dT) at constant T
3. I tried isolating M in the dF equation, then taking the derivative with respect to T of the whole thing, which is where I got stuck. I also found SdT to be zero, which may or may not be applicable here? Any help is much appreciated.
dF = -SdT - MdB
where M is the total magnetic moment (magnetization times volume) of the system. Derive an appropriate Maxwell equation to show that
(dM/dT) = 0
at constant B, T = 0.
2. M = -(dF/dT) at constant T
3. I tried isolating M in the dF equation, then taking the derivative with respect to T of the whole thing, which is where I got stuck. I also found SdT to be zero, which may or may not be applicable here? Any help is much appreciated.