1) Derive the Fermi Dirac statistical distribution law.
2) Compare the three statistics Maxwell-Boltzmann
statistics,Bose-Einstein statistics,Fermi-Dirac Statistics.
Derive the Boltzmann distribution from first principles
(maximizing weight). Why is the Boltzmann distribution so
important, explain what it is and how it is used.
Describe the different models used to model the distribution of
particles in statistical mechanics, including Maxwell–Boltzmann,
Bose–Einstein, and Fermi–Dirac statistics. In each case, describe
the counting techniques used in the model.
Derive the Maxwell equations for F (Helmholtz Free Energy) and G
(Gibbs Free Energy) with “for all mathematical stages"? What is the
condition of being a state function, and which of the parameters E
(Internal energy), Q (Heat), W (Work), S (Entropy) are not the
state function? Why is that?
Write the first law of thermodynamics for magnetic material, and
derive thermodynamic potentials and Maxwell equations. Determine
the difference in heat capacitance in the case of constant magnetic
field and permanent magnetization.