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Generalized Entropy Approach for Conserved Systems with Finite Entities: Insights into Non-Gaussian and Non-Chi-Square Distributions using Havrda-Charvát-Tsallis Entropy.
- Source :
-
International Journal of Theoretical Physics . Aug2023, Vol. 62 Issue 8, p1-11. 11p. - Publication Year :
- 2023
-
Abstract
- We demonstrate that the most probable state of a conserved system with a limited number of entities or molecules is the state where non-Gaussian and non-chi-square distributions govern. We have conducted a thought experiment using a specific setup. We have verified the mathematical derivation of the most probable state accurately predicts the results obtained by computer simulations. The derived distributions approach the Gaussian and the chi-square distributions as the number of entities approaches infinity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207748
- Volume :
- 62
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Theoretical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 169692225
- Full Text :
- https://doi.org/10.1007/s10773-023-05426-5