integral for z new bounds

feos-org · prehner · Jan 23, 2023 · Jan 19, 2023 · Jan 19, 2023 · Jan 19, 2023
commit bb5b4a4b9ba62b9c9fdb0620de5464d718e02dbd
diff --git a/docs/theory/dft/pdgt.md b/docs/theory/dft/pdgt.md
@@ -49,5 +49,5 @@ $$	\gamma=\frac{F-\mu N+pV}{A}=\int_{\rho^\mathrm{V}}^{\rho^\mathrm{L}}   \sqrt{
 
 Thus, no iterative solver is necessary to calculate the surface tension of pure components, which is a major advantage of pDGT. Finally, the density profile can be calculated from
 
-$$ z=\int_{\rho^\mathrm{V}}^{\rho^\mathrm{L}}   \sqrt{\frac{c/2}{ f(\rho)-\rho\mu+p} } d\rho $$
+$$ z(\rho)=\int_{\rho^\mathrm{V}}^{\rho}   \sqrt{\frac{c/2}{ f(\rho)-\rho\mu+p} } d\rho $$
Original file line number	Diff line number	Diff line change
Expand Up		@@ -49,5 +49,5 @@ $$ \gamma=\frac{F-\mu N+pV}{A}=\int_{\rho^\mathrm{V}}^{\rho^\mathrm{L}} \sqrt{

		Thus, no iterative solver is necessary to calculate the surface tension of pure components, which is a major advantage of pDGT. Finally, the density profile can be calculated from

		$$ z=\int_{\rho^\mathrm{V}}^{\rho^\mathrm{L}} \sqrt{\frac{c/2}{ f(\rho)-\rho\mu+p} } d\rho $$
		$$ z(\rho)=\int_{\rho^\mathrm{V}}^{\rho} \sqrt{\frac{c/2}{ f(\rho)-\rho\mu+p} } d\rho $$