Thermodynamics in Microcanonical Ensemble
Abstract
In this article we find the thermodynamics of some large N particles systems and some small N particles classical systems using micro canonical ensemble. Small N particle systems are seldom done in textbooks, since statistical mechanics(SM) systems work for large N systems. We show that small N systems will help the students to get an insight about the phase space and also the computation of microstates.References
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Bannur, V. M., & Thayyullathil, R. B. (2009). Formulation of statistical mechanics for chaotic systems. Pramana, 72(2), 315–323.
Gross, D. H. E. (2001). Microcanonical Thermodynamics: Phase Transitions in “small” Systems. World Scientific.
Hill, T. L. (1986). An introduction to statistical thermodynamics. New York: Dover Publications.
Huang, K. (2009). Introduction to Statistical Physics (2 ed.). Chapman and Hall/CRC. Retrieved March 16, 2023, from https://www.taylorfrancis.com/books/9781439878132
Palma, G., & Riveros, A. (2021). General method to sample systems in the microcanonical ensemble using Monte Carlo simulations. The European Physical Journal B, 94(1), 23. Springer Berlin Heidelberg.
Park, H., Kim, Y. W., & Yi, J. (2022). Entropies of the microcanonical ensemble. AIP Advances, 12(6), 065226.
Pathria, R. K. (2016). Statistical mechanics. Elsevier.
Rugh, H. H. (1997). Dynamical Approach to Temperature. Physical Review Letters, 78(5), 772–774. American Physical Society.
Suresh, T. P., Damodaran, L., & Udayanandan, K. M. (2016). Gibbs paradox: Mixing and non mixing potentials. Physics Education, 32(3).
Tobolsky, A. V. (1964). The Microcanonical Ensemble. American Journal of Physics, 32(10), 799–802.
Published
2023-03-22
How to Cite
MURKOTH, Udayanandan Kandoth; P, Prasanth; P, Reshma.
Thermodynamics in Microcanonical Ensemble.
European Journal of Physics Education, [S.l.], v. 14, n. 1, p. 14-22, mar. 2023.
ISSN 1309-7202.
Available at: <https://eu-journal.org/index.php/EJPE/article/view/348>. Date accessed: 25 apr. 2024.
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