Boltzmann distribution

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.

$f(E)={\frac {1}{Z}}\exp(-E/k_{B}T)$

where $k_{B}$ is the Boltzmann constant, T is the temperature, and the normalization constant Z is the partition function of the system.