Some discussions on equipartition theorem
DOI:
https://doi.org/10.21067/mpej.v7i2.7571Keywords:
equipartition theorem, classical systems, energy systemsAbstract
During the development of physics, we can see that the Equipartition Theorem (EPT) has been redefined many times. In this paper, we start with the description of the historical development of the theorem along with the various definitions given by different scientists. Then we found the expressions for classical, quantum, and discrete energy systems and redefined EPT.
Downloads
References
Barkan, D. (1991). Walther Nernst and Quantum Theory. 151–162. https://doi.org/10.1007/978-94-011-3164-3_14
Beale, P. D., & Pathria, R. K. (2011). Statistical Mechanics. Elsevier Science.
Cercignani, C., & Penrose, R. (2006). Ludwig Boltzmann: The Man Who Trusted Atoms. Ludwig Boltzmann: The Man Who Trusted Atoms, 1–352. https://doi.org/10.1093/ACPROF:OSO/9780198570646.001.0001
Clausius, R. (1859). X. On the mean length of the paths described by the separate molecules of gaseous bodies on the occurrence of molecular motion: together with some other remarks upon the mechanical theory of heat. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 17(112), 81–91. https://doi.org/10.1080/14786445908642626
Einstein, A. (1907). Die Plancksche Theorie der Strahlung und die Theorie der spezifischen Wärme. Annalen Der Physik, 327(1), 180–190. https://doi.org/10.1002/ANDP.19063270110
Fox, R. (1968). The background to the discovery of Dulong and Petit’s law. The British Journal for the History of Science, 4(1), 1–22.
Greiner, W., Neise, L., & Stöcker, H. (2001). Thermodynamics and Statistical Mechanics (Classical Theoretical Physics).
Huang, K. (2009). Introduction to Statistical Physics. Introduction to Statistical Physics. https://doi.org/10.1201/9781439878132/INTRODUCTION-STATISTICAL-PHYSICS-KERSON-HUANG
Maxwell, J. C. (1860). V. Illustrations of the dynamical theory of gases. —Part I. On the motions and collisions of perfectly elastic spheres . The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 19(124), 19–32. https://doi.org/10.1080/14786446008642818
Reif, F. (2009). Fundamentals of statistical and thermal physics. Waveland Press.
Thomson, Baron Kelvin, W. (2010). Baltimore Lectures on Molecular Dynamics and the Wave Theory of Light. In Baltimore Lectures on Molecular Dynamics and the Wave Theory of Light. Cambridge University Press. https://doi.org/10.1017/cbo9780511694523
Tolman, R. (1979). The principles of statistical mechanics. Dover Publications.
Turner Jr, L. E. (1976). Generalized Classical Equipartition Theorem. American Journal of Physics, 44, 104–105.
Waterston, J. (1892). I. On the physics of media that are composed of free and perfectly elastic molecules in a state of motion. Philosophical Transactions of the Royal Society of London. (A.), 183. https://doi.org/10.1098/rsta.1892.0001
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Momentum: Physics Education Journal
This work is licensed under a Creative Commons Attribution 4.0 International License.
Momentum: Physisc Education Journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles and allow readers to use them for any other lawful purpose.
This work is licensed under a Creative Commons Attribution 4.0 International License. The Authors submitting a manuscript do so with the understanding that if accepted for publication, copyright of the article shall be assigned to Momentum: Physics Education Journal