Shim, Jae Wan 2024-01-12T06:35:02Z 2024-01-12T06:35:02Z 2023-08-01 2023-07 0020-7748 https://pubs.kist.re.kr/handle/201004/79874 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. English Springer Generalized Entropy Approach for Conserved Systems with Finite Entities: Insights into Non-Gaussian and Non-Chi-Square Distributions using Havrda-Charvat-Tsallis Entropy Article 10.1007/s10773-023-05426-5 1 International Journal of Theoretical Physics, v.62, no.8 International Journal of Theoretical Physics 62 8 N scie scopus 001038999400003 Physics, Multidisciplinary Physics Article Non-chi-square distribution Statistical modeling Non-Gaussian distribution