The Boltzmann distribution and molecular gases

2021 ◽  
pp. 242-247
Author(s):  
Geoffrey Brooker

“The Boltzmann distribution and molecular gases” explains why an “ordinary” gas has its molecules Boltzmann-distributed. The most concentrated Fermi–Dirac gas, helium 3 at its boiling point, is still in a “dilute limit”, dilute enough to be approximately Boltzmann. Similarly, the most concentrated Bose–Einstein gas, helium 4 at its boiling point, is also approximately Boltzmann.

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Kazi Ashraful Alam ◽  
Mir Mehedi Faruk

Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.


2017 ◽  
Vol 32 (14) ◽  
pp. 1750079 ◽  
Author(s):  
M. F. Atiyah

A previous paper [M. F. Atiyah and N. S. Manton, arXiv:1609.02816 ] modeled atoms and their isotopes by complex algebraic surfaces with the projective plane modeling Hydrogen. In this paper, models of the stable isotopes Helium-4 and Helium-3 are constructed.


Author(s):  
W. VASSEN ◽  
T. JELTES ◽  
J. M. MCNAMARA ◽  
A. S. TYCHKOV ◽  
W. HOGERVORST ◽  
...  
Keyword(s):  
Helium 4 ◽  

1970 ◽  
Vol 2 (3) ◽  
pp. 870-882 ◽  
Author(s):  
D. S. Miyoshi ◽  
R. M. Cotts ◽  
A. S. Greenberg ◽  
R. C. Richardson

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