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On Classical Ideal Gases
Jacques Arnaud 1, Laurent Chusseau 1, Fabrice Philippe 2
(27/03/2012)

We show that the thermodynamics of ideal gases may be derived solely from the democritian concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are \emph{independent} of the laws of motion, aside from the law of energy conservation. Only a single corpuscle in contact with a heat bath submitted to a $z$ and $t$-invariant force is considered. Most of the end results are known but the method appears to be novel. The mathematics being elementary the present paper should facilitate the understanding of the ideal-gas law and of classical thermodynamics even though not-usually-taught concepts are being introduced. Appendices clarify detailed points.
1 :  Institut d'Electronique du Sud (IES)
CNRS : UMR5214 – Université Montpellier II - Sciences et techniques
2 :  Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM)
CNRS : UMR5506 – Université Montpellier II - Sciences et techniques
INFO/ARITH
Physique/Physique/Physique Classique

Physique/Matière Condensée/Mécanique statistique

Physique/Physique/Physique Générale
Thermodynamics – Ideal gas – Carnot cycle – Statistical mechanics
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