- #1
sm09
- 9
- 0
The grand partition function Z of a system is given by formula:
Z = Ʃ exp ((-Ei/KbT) + (μni/KbT))
where , 1, 2... i E i= are permitted energy levels, μ is the chemical
potential, , 1,2... i n i= are number of particles of different types.
Taking into account that averaged internal energy
U = Ʃ Pi(Ei-μni) show that
U = Kb(T^2)(d(lnZ)/dT)
any help?
Z = Ʃ exp ((-Ei/KbT) + (μni/KbT))
where , 1, 2... i E i= are permitted energy levels, μ is the chemical
potential, , 1,2... i n i= are number of particles of different types.
Taking into account that averaged internal energy
U = Ʃ Pi(Ei-μni) show that
U = Kb(T^2)(d(lnZ)/dT)
any help?