Uncertainty relations of statistical mechanics

Robert Gilmore
Phys. Rev. A 31, 3237 – Published 1 May 1985
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Abstract

The product of the rms fluctuations of an extensive thermodynamic variable with that of its conjugate intensive thermodynamic variable is bounded below by k in the entropy representation and by kT in the energy representation. The uncertainty relations of statistical mechanics are equivalent to the stability relations of equilibrium thermodynamics.

  • Received 26 October 1984

DOI:https://doi.org/10.1103/PhysRevA.31.3237

©1985 American Physical Society

Authors & Affiliations

Robert Gilmore

  • Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104

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Issue

Vol. 31, Iss. 5 — May 1985

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