All Questions
3
questions
0
votes
1
answer
67
views
Why can we use Bose-Einstein statistics in this expression for number density
In a system with $N$ particles in some volume $V$ in contact with a reservoir of temperature $T$, we find that
$$\bar{n_i}=\frac{g_i}{e^{\frac{{\epsilon}_i -\mu}{kT}} \pm 1}$$
depending on whether the ...
- 129
1
vote
0
answers
322
views
Fermi-Dirac vs. Maxwell-Boltzmann distribution in the early universe plasma
From my studies, I remember that the quantum effects relative to the bosonic or fermonic nature of the particles play a role only in the conditions of degenerate gas: when the plasma is very dense and ...
6
votes
1
answer
1k
views
Derivation of relativistic pressure
As you can find in many cosmology textbooks, the relativistic pressure in quantum statistical mechanics can be witten as below:
$$p=g \int \frac{d^3P}{(2 \pi \hbar)^3} \frac{c^2 |\mathbf{P}|^2}{3E(\...
- 83