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Thermodynamique (2004-2010). - Université de Genève

Thermodynamique (2004-2010). - Université de Genève

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Energie Potentiel Potentiel Potentiel<br />

Nom <strong>de</strong> Enthalpie <strong>de</strong> <strong>de</strong> − −<br />

Interne Helmholtz Gibbs Landau<br />

Symbole :<br />

Ici E F ¯ H G Ω U ′ W ′<br />

Stowe E F H G Ω − −<br />

Bellac E F ¯ H G Ω − −<br />

L&L E F W Φ Ω − −<br />

Callen U F ¯ H G Ω − −<br />

Hulin U F ¯ H G Ω − −<br />

IUPAC U A ¯ H G Ω U ′ W ′<br />

Energie T S + µN µN − pV T S + µN µN −pV T S − pV T S<br />

libre −pV<br />

Variables N, V, S N, V, T N, p, S N, p, T µ, V, T µ, V, S µ, p, S<br />

dE = dF = d ¯ H = dG = dΩ = dU ′ = dW ′ =<br />

Diffé- µdN µdN µdN µdN −Ndµ −Ndµ −Ndµ<br />

ren- −pdV −pdV +V dp +V dp −pdV −pdV +V dp<br />

tielle +T dS −SdT +T dS −SdT −SdT +T dS +T dS<br />

N − − − − − ∂Ω<br />

<br />

∂U ′ ∂W ′ <br />

∂µ − ∂µ − ∂µ<br />

T,V<br />

S,V<br />

<br />

∂E<br />

∂F<br />

∂ µ<br />

¯ <br />

H <br />

∂G − − −<br />

T,p<br />

<br />

∂N S,V<br />

<br />

∂N T,V<br />

∂N <br />

S,p<br />

∂ V − − ¯ <br />

H <br />

∂G<br />

∂p ∂p <br />

S,N<br />

T,N<br />

p − ∂E<br />

<br />

− ∂V<br />

∂F<br />

<br />

− − − ∂V T,N ∂Ω<br />

∂V<br />

S,N<br />

<br />

∂E T ∂ − ∂S V,N ¯ <br />

H <br />

∂S <br />

p,N<br />

S − − ∂F<br />

<br />

− − ∂T V,N ∂G<br />

∂T<br />

∂N<br />

S,p<br />

∂W − − ′ <br />

∂P S,µ<br />

<br />

∂U ′ <br />

− −<br />

T,µ ∂V S,µ<br />

∂U − − ′ <br />

∂S V,µ<br />

<br />

− p,N<br />

∂Ω<br />

<br />

∂T<br />

<br />

<br />

∂W ′ <br />

<br />

∂S p,µ<br />

V,µ − −<br />

Table 7.1<br />

Resumé <strong>de</strong>s potentiels thermodynamiques, <strong>de</strong>s symboles utilisés dans la litérature, et<br />

<strong>de</strong>s dérivés partielles <strong>de</strong> l’énergie libre.<br />

48

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