On Classical Ideal Gases

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...

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Main Authors: Laurent Chusseau, Jacques Arnaud, Fabrice Philippe
Format: Article
Language:English
Published: MDPI AG 2013-02-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/15/3/960
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author Laurent Chusseau
Jacques Arnaud
Fabrice Philippe
author_facet Laurent Chusseau
Jacques Arnaud
Fabrice Philippe
author_sort Laurent Chusseau
collection DOAJ
description 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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spelling doaj.art-40735fc806da4217b0fa458114d4cf332022-12-22T04:22:27ZengMDPI AGEntropy1099-43002013-02-0115396097110.3390/e15030960On Classical Ideal GasesLaurent ChusseauJacques ArnaudFabrice PhilippeWe 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.http://www.mdpi.com/1099-4300/15/3/960ideal gas lawrelativistic gases submitted to gravitycorpuscular conceptsclassical gas theoryDemocritus physicscanonical single-corpuscle thermodynamics
spellingShingle Laurent Chusseau
Jacques Arnaud
Fabrice Philippe
On Classical Ideal Gases
Entropy
ideal gas law
relativistic gases submitted to gravity
corpuscular concepts
classical gas theory
Democritus physics
canonical single-corpuscle thermodynamics
title On Classical Ideal Gases
title_full On Classical Ideal Gases
title_fullStr On Classical Ideal Gases
title_full_unstemmed On Classical Ideal Gases
title_short On Classical Ideal Gases
title_sort on classical ideal gases
topic ideal gas law
relativistic gases submitted to gravity
corpuscular concepts
classical gas theory
Democritus physics
canonical single-corpuscle thermodynamics
url http://www.mdpi.com/1099-4300/15/3/960
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AT fabricephilippe onclassicalidealgases