Entropy as the geometric mean of partitioning: A pedagogical derivation from effective state counting
Using an effective state-counting approach, we show that entropy emerges as the logarithm of an effective number of states obtained from the weighted geometric mean of the inverse probabilities 1/pi.
Authors
- Jinho Lee (ORCID: https://orcid.org/0000-0002-9452-6630)
- Gyeong-Pil Kwon
- Kyongwan Kim (ORCID: https://orcid.org/0000-0003-4176-3963)
Institutions
- Gyeongsang National University (KR)
- Gyeongin National University of Education (KR)
- Dankook University (KR)
Publication Details
- Journal
- American Journal of Physics
- Published
- 2026-09-22
- DOI
- https://doi.org/10.1119/5.0330859
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00