Résolution de divers problèmes liés à une compilation stricte avec vim-latex

This commit is contained in:
Guyot 2020-09-09 22:37:50 +02:00
parent 1235d2bc0e
commit e6640116b2
29 changed files with 82077 additions and 37739 deletions

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\contentsline {figure}{\numberline {1.6}{\ignorespaces Interaction de deux galaxies}}{25}%
\contentsline {figure}{\numberline {1.7}{\ignorespaces N\IeC {\'e}buleuse plan\IeC {\'e}taire}}{25}%
\contentsline {figure}{\numberline {1.8}{\ignorespaces Premi\IeC {\`e}re exoplan\IeC {\`e}te}}{25}%
\contentsline {figure}{\numberline {1.9}{\ignorespaces Syst\IeC {\`e}me solaire}}{26}%
\contentsline {figure}{\numberline {1.10}{\ignorespaces La taille des plan\IeC {\`e}tes}}{27}%
\contentsline {figure}{\numberline {1.11}{\ignorespaces La taille des plan\IeC {\`e}tes}}{28}%
\contentsline {figure}{\numberline {1.12}{\ignorespaces Une com\IeC {\`e}te}}{28}%
\contentsline {figure}{\numberline {1.13}{\ignorespaces \IeC {\'E}toiles filantes}}{28}%
\contentsline {figure}{\numberline {1.14}{\ignorespaces Les saisons}}{29}%
\contentsline {figure}{\numberline {1.15}{\ignorespaces Les saisons}}{29}%
\contentsline {figure}{\numberline {1.16}{\ignorespaces La terre et la lune}}{29}%
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@ -90,7 +90,7 @@
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\contentsline {figure}{\numberline {7.12}{\ignorespaces Applications de la g\IeC {\'e}othermie}}{113}%
\contentsline {figure}{\numberline {7.13}{\ignorespaces Fission de l'uranium\relax }}{114}%
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@ -114,7 +114,7 @@
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\contentsline {figure}{\numberline {11.3}{\ignorespaces Dilatation volumique\relax }}{140}%
\contentsline {figure}{\numberline {11.3}{\ignorespaces Dilatation volumique\relax }}{141}%
\contentsline {figure}{\numberline {11.4}{\ignorespaces Travail et diagramme P-V\relax }}{148}%
\contentsline {figure}{\numberline {11.5}{\ignorespaces Transformation isobare\relax }}{150}%
\contentsline {figure}{\numberline {11.6}{\ignorespaces Transformation isochore\relax }}{151}%

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@ -175,4 +175,4 @@
%\listoftables % un petit problème (bug ?) d'alignement m'a fait retirer provisoirement cette liste
\end{document}
\endinput % termine l'importation des solutions
\endinput % termine l'importation des solutions

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@ -7,10 +7,10 @@
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@ -164,7 +164,7 @@
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@ -240,7 +240,7 @@
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@ -259,7 +259,7 @@
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%\usepackage{chappg} % numérotation par chapitre
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@ -1368,7 +1368,7 @@ En résumé, pour un cycle de Carnot, le rendement ne dépend que des températu
Le rendement d'une machine thermique réelle ne pouvant dépasser celle de Carnot, comme on le montrera au paragraphe \ref{secondprincipe}, elle ne peut jamais être de 100\%.
\section{Thermodynamique statistique}\label{thermostat}
Au paragraphe \ref{apprmolecul}, nous avons considéré un gaz parfait du point de vue de ses éléments constitutifs. Reprenons cette approche pour déterminer comment un état donné est réalisé microscopiquement par un gaz. Pour cela, partons d'un volume divisé en trois parties et qui contient trois molécules sans interactions mutuelles. Nous ne prendrons pas en compte les différentes manières de répartir l'énergie interne entre les quatre molécules. Dénombrons le nombre d'états possibles, c'est-à-dire le nombre de manières différentes de placer les trois molécules dans les trois parties. On suppose que les molécules sont identiques. La figure \ref{} ... montre qu'il existe dix états microscopique différent, dont un comporte une seule molécule dans chaque partie, six comportent deux molécules dans l'une et/ou l'autre des parties et trois comportent trois molécules dans l'une des parties. Visiblement, sur la base du seul critère de la position des molécules, la probabilité de réalisation d'un état avec une, deux ou trois molécules dans une partie est très différente. Certains états sont réalisés plus souvent que d'autres, comme ici celui avec deux molécules dans l'une des parties. Visuellement cet état est aussi le plus désordonné.
Au paragraphe \ref{apprmolecul}, nous avons considéré un gaz parfait du point de vue de ses éléments constitutifs. Reprenons cette approche pour déterminer comment un état donné est réalisé microscopiquement par un gaz. Pour cela, partons d'un volume divisé en trois parties et qui contient trois molécules sans interactions mutuelles. Nous ne prendrons pas en compte les différentes manières de répartir l'énergie interne entre les quatre molécules. Dénombrons le nombre d'états possibles, c'est-à-dire le nombre de manières différentes de placer les trois molécules dans les trois parties. On suppose que les molécules sont identiques. La figure ... montre qu'il existe dix états microscopique différent, dont un comporte une seule molécule dans chaque partie, six comportent deux molécules dans l'une et/ou l'autre des parties et trois comportent trois molécules dans l'une des parties. Visiblement, sur la base du seul critère de la position des molécules, la probabilité de réalisation d'un état avec une, deux ou trois molécules dans une partie est très différente. Certains états sont réalisés plus souvent que d'autres, comme ici celui avec deux molécules dans l'une des parties. Visuellement cet état est aussi le plus désordonné.
De manière plus générale, considérons un volume \(V\) décomposé en \(n\) parties de volume \(v=V/n\) contenant \(N\) particules différentes. On peut mettre la première particule dans l'une ou l'autre des \(n\) parties. De la même manière, on peut placer les \(N\) particules suivantes de \(n\) manières différentes. Au total, on a donc \(n^N\) manières de peupler notre volume \(V\). Or, comme \(n=V/v\), on a~:
\[n^N=(\frac{V}{v})^N\sim V^N\]