TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.76
TI  - Plea for the use of the exact Stirling formula in statistical mechanics
PY  - 2023/10/30
UR  - https://scipost.org/SciPostPhysLectNotes.76
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 76
A1  - Lairez, Didier
AB  - In statistical mechanics, the generally called Stirling approximation is actually an approximation of Stirling's formula. In this article, it is shown that the term that is dropped is in fact the one that takes fluctuations into account. The use of the Stirling's exact formula forces us to reintroduce them into the already proposed solutions of well-know puzzles such as the extensivity paradox or the Gibbs' paradox of joining two volumes of identical gas. This amendment clearly results in a gain in consistency and rigor of these solutions.
ER  -

@Article{10.21468/SciPostPhysLectNotes.76,
	title={{Plea for the use of the exact Stirling formula in statistical mechanics}},
	author={Didier Lairez},
	journal={SciPost Phys. Lect. Notes},
	pages={76},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.76},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.76},
}