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Additional recommended knowledge
Where kB is Boltzmann's constant, and Ei is the energy of state i. The ratio of the probabilities of two states is given by the ratio of their Boltzmann factors.
The Boltzmann factor is not a probability by itself, because it is not normalized. To normalize the Boltzmann factor into a probability, one divides it by the sum Z of the Boltzmann factors of all possible states of a system, which is called the partition function. This gives the Boltzmann distribution.
From the Boltzmann factor it is possible to derive the Maxwell-Boltzmann statistics, Bose-Einstein statistics, and Fermi-Dirac statistics that govern classical particles as well as quantum mechanical bosons, and fermions, respectively.
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Boltzmann_factor". A list of authors is available in Wikipedia.|