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On Classical Ideal Gases

Jacques Arnaud 1 Laurent Chusseau 1, 2 Fabrice Philippe 3
2 RADIAC - Radiations et composants
IES - Institut d’Electronique et des Systèmes
3 ESCAPE - Systèmes complexes, automates et pavages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : We show that the thermodynamics of ideal gases may be derived solely from the Democritean concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are 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.
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Jacques Arnaud, Laurent Chusseau, Fabrice Philippe. On Classical Ideal Gases. Entropy, MDPI, 2013, 15 (3), pp.960-971. ⟨10.3390/e15030960⟩. ⟨lirmm-01761729⟩

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