Boltzmann distribution

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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.


where is the degeneracy of the energy ; leading to


where is the Boltzmann constant, T is the temperature, and the normalization constant Z is the partition function of the system.

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