Some discussions on equipartition theorem

Authors

  • Prasanth Pulinchery Govt Engineering College Thrissur, India
  • Reshma Perayil Swami Nithyandha Polytechnic College, India
  • Nishanth Pothyiodath PRNSS College, Mattannur, India
  • Aravind Aravind University of Freiburg, Germany
  • Udayanandan Kandoth Murkoth Gurudev Arts And Science College, India

DOI:

https://doi.org/10.21067/mpej.v7i2.7571

Keywords:

equipartition theorem, classical systems, energy systems

Abstract

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

Download data is not yet available.

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

2023-06-01

How to Cite

Pulinchery, P., Perayil, R., Pothyiodath, N., Aravind, A., & Murkoth, U. K. (2023). Some discussions on equipartition theorem. Momentum: Physics Education Journal, 7(2), 201–206. https://doi.org/10.21067/mpej.v7i2.7571

Issue

Section

Articles