THERMAL SCIENCE

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Edward Bormashenko

,

Oleg Gendelman

ON THE APPLICABILITY OF THE EQUIPARTITION THEOREM

ABSTRACT
Generalization of the equipartition theorem is presented for a broad range of potentials U(x) with quadratic minimum. It is shown, that the equipartition of energy in its standard form appears at the low temperatures limit. For potentials demonstrating the quadratic behavior for large displacements from the equilibrium the equipartition holds also in the high temperature limit. The temperature range of applicability of the equipartition theorem for the potential U = ax2 + bx4 was established.
KEYWORDS
equipartition of energy, saddle point method, quadratic potential
PAPER SUBMITTED: 2010-03-11
PAPER REVISED: 2010-03-12
PAPER ACCEPTED: 2010-03-12
DOI REFERENCE: https://doi.org/10.2298/TSCI1003855B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE Issue 3, PAGES [855 - 858]
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On the applicability of the equipartition theorem

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence