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Entropy 2013, 15(3), 960-971; doi:10.3390/e15030960
Article

On Classical Ideal Gases

1
, 2,*  and 3
1 Mas Liron, F30440 Saint Martial, France 2 IES, UMR n°5214 au CNRS, Université Montpellier II, F34095 Montpellier, France 3 LIRMM, UMR n°5506 au CNRS, 161 rue Ada, F34392 Montpellier, France
* Author to whom correspondence should be addressed.
Received: 12 December 2012 / Revised: 15 January 2013 / Accepted: 21 February 2013 / Published: 27 February 2013
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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.
Keywords: ideal gas law; relativistic gases submitted to gravity; corpuscular concepts; classical gas theory; Democritus physics; canonical single-corpuscle thermodynamics ideal gas law; relativistic gases submitted to gravity; corpuscular concepts; classical gas theory; Democritus physics; canonical single-corpuscle thermodynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Arnaud, J.; Chusseau, L.; Philippe, F. On Classical Ideal Gases. Entropy 2013, 15, 960-971.

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