Skip to main content

All Questions

2 votes
2 answers
151 views

Negative Temperature and bounded Energy of the Universe

I have just learned about the pretty cool idea about negative temperature (although it is "hotter" then positive temperature...) of a two level system. The condition for having negative ...
Shing's user avatar
  • 2,794
2 votes
1 answer
91 views

No Temperature in an Expanding Universe?

The statistical definition of temperature as $\bigg(\dfrac{\partial \ln \Omega}{\partial E}\bigg)^{-1}$ inherently assumes the existence of a well-defined energy. To my understanding, a well-defined ...
user avatar
12 votes
1 answer
10k views

Number $g(T)$ of relativistic degrees of freedom as a function of temperature $T$

Let us consider the total number of relativistic degrees of freedom $g(T)$ for particle species in our universe: $$g(T)=\left(\sum_Bg_B\right)+\frac{7}{8}\left(\sum_Fg_F\right)$$ Where the sums are ...
Kagaratsch's user avatar
  • 1,517
4 votes
3 answers
3k views

Why the temperature is getting lower when the universe is expanding

As we know, if an ideal gas expands in vacuum, as its energy is unchanged, the temperature remains the same. An ideal gas's energy does not depend on volume. In general, the energy is $kT$ times the ...
Xiao-Qi Sun's user avatar