Thermodynamics, Statistical Physics, and Quantum Mechanics

48 PROBLEMS

4.105 Adiabatic Demagnetization (Maryland)

A paramagnetic sample is subjected to magnetic cooling.

a) Show that

Assume is independent of H. Show that

where is themagnetization, isthe isothermalmagnetic

susceptibility per unitvolume, H is the magnetic field, and is the

heat capacity at constant H.

For an adiabatic process,showthat

c) Assume that can be approximated by Curie’s law and that

the heat capacity at zero magnetic field is given by

where and are constants.Show that

b)