Canonical distribution from kinetic theory |
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Authors: | Richard L. Liboff Daniel M. Heffernan |
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Affiliation: | School of Electrical Engineering and Department of Physics, Cornell University, Ithaca, NY 14853, USA |
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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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