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Canonical distribution from kinetic theory

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
79
Issue
1
Identifiers
DOI: 10.1016/0375-9601(80)90308-4

Abstract

Abstract Solution to the Liouville equation for N interacting particles of differing mass is sought in terms of a product of functions of particle momenta and particle coordinates, respectively. Further assuming a product separability of the momentum part of the solution is shown to yield the canonical distribution. The inverse-temperature β parameter emerges in the analysis as a separation-of-variables constant.

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