nLab Boltzmann distribution




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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:

dpe EkTdE, d p \;\propto\; e^{ - \frac{E}{k T} } \, d E \,,

where kk is Boltzmann's constant (a physical unit).


Named after Ludwig Boltzmann.

See also:

Last revised on April 23, 2021 at 16:48:32. See the history of this page for a list of all contributions to it.