The QCD Phase Diagram - Theory Center
The QCD Phase Diagram - Theory Center
The QCD Phase Diagram - Theory Center
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Reminder on <strong>The</strong>rmodynamics<br />
thermodynamic potentials:<br />
energy: E(S, V , N) dE = T dS − P dV + µ dN<br />
free energy: F (T , V , N) = E − TS dF = −S dT − P dV + µ dN<br />
enthalpy: H(S, P, N) = E + PV dH = T dS + V dP + µ dN<br />
free enthalpy: G(T , P, N) = E − TS + PV dG = −S dT + V dP + µ dN<br />
Legendre transformations w.r.t. −µN give further potentials, e.g.:<br />
grand potential: Ω(T , V , µ) = E − TS − µN dΩ = −S dT − P dV − N dµ<br />
some important relations following from this:<br />
◮ µ = ∂G/∂N <br />
T ,P = G/N ◮ Ω = −PV<br />
1.November 2012 | TU Darmstadt - SE Rel. Schwerionenphysik | Ralf-Arno Tripolt | 8