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Auteur principal: Liu, Q. H.
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2506.22478
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author Liu, Q. H.
author_facet Liu, Q. H.
contents In an isolated ideal Bose system with a fixed energy, the number of microstates depends solely on the configurations of bosons in excited states, implying zero entropy for particles in the ground state. When two such systems merge, the resulting entropy is less than the sum of the individual entropies. This entropy decrease is numerically shown to arise from an effectively but anomalous exchange of particles in excited states, where $\overline{N}!/(\overline{N}_{1}!\overline{N}_{2}!)<1$. Here, $\overline{N}$, $\overline{N}_{1}$, and $\overline{N}_{2}$ are real decimals representing, respectively, the mean number of particles in excited states in the merged system and the two individual systems before merging, with $\overline{N}<\overline{N}_{1}+\overline{N}_{2}$.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22478
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An anomalous particle-exchange mechanism for two isolated Bose gases merged into one
Liu, Q. H.
Statistical Mechanics
Quantum Gases
Mathematical Physics
In an isolated ideal Bose system with a fixed energy, the number of microstates depends solely on the configurations of bosons in excited states, implying zero entropy for particles in the ground state. When two such systems merge, the resulting entropy is less than the sum of the individual entropies. This entropy decrease is numerically shown to arise from an effectively but anomalous exchange of particles in excited states, where $\overline{N}!/(\overline{N}_{1}!\overline{N}_{2}!)<1$. Here, $\overline{N}$, $\overline{N}_{1}$, and $\overline{N}_{2}$ are real decimals representing, respectively, the mean number of particles in excited states in the merged system and the two individual systems before merging, with $\overline{N}<\overline{N}_{1}+\overline{N}_{2}$.
title An anomalous particle-exchange mechanism for two isolated Bose gases merged into one
topic Statistical Mechanics
Quantum Gases
Mathematical Physics
url https://arxiv.org/abs/2506.22478