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In thermodynamics, the Boltzmann distribution is the probability distribution on the space of configurations of a physical system which maximizes the entropy subject to the constraint that the expectation value of the energy is fixed.
It is characterized by a probability density proportional to the exponential of the energy weighted my minus the inverse temperature:
where $k$ is Boltzmann's constant (a physical unit).
Named after Ludwig Boltzmann.
See also:
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