Boltzmann distribution
From SklogWiki
The Maxwell-Boltzmann distribution function is a function f(E) which gives the probability that a system in contact with a thermal bath at temperature T has energy E. This distribution is classical and is used to describe systems with identical but distinguishable particles.
![f(E) \propto \Omega(E) \exp \left[ - E/k_B T \right]](/SklogWiki/images/math/4/a/7/4a7a0dc9428679d3b3190405f946ea3b.png)
,
where 
is the degeneracy of the energy E; leading to
![f(E) = \frac{1}{Z} \Omega(E) \exp \left[ -E/k_B T \right]](/SklogWiki/images/math/f/b/b/fbbb4d750320d559a64ccb6c4e248a41.png)
.
where kB is the Boltzmann constant, T is the temperature, and the normalization constant Z is the partition function of the system.
