2.6
Consider a simplified system having four energy levels of relative energy 0, 1, 2 and 3. The system contains eight particles and has a total relative energy of six. Determine the thermodynamic probability for every distribution consistent with the above constraints given the following system characteristics.
a. The energy levels are nondegenerate and the particles obey Maxwell-Boltzmann statistics.
b. Each energy level has a degeneracy of six and the particles obey either (i) Maxwell--Boltzmann or (ii) corrected Maxwell-Boltzmann statistics.
c. Each energy level has a degeneracy of six and the particles obey either Bose-- Einstein or Fermi--Dirac statistics.
d. Comment on your calculations for parts (b) and (c).