Liouville's Theorem -- from Eric Weisstein's World of Physics

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Liouville's Theorem

A fundamental theorem of statistical mechanics which states that the density of systems of a statistical ensemble of some given system in phase space remains constant in time. In other words, the density in phase space remains constant along a dynamic trajectory.

(1)

(2)

In equilibrium,

(3)


© 1996-2007 Eric W. Weisstein

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