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2.3.3 CO5BOLD equation of state

CO5BOLD equation of state input:
\begin{displaymath} \rho;\; e \end{displaymath} (36)

CO5BOLD equation of state output:
\begin{displaymath} s;\; P;\; T;\; \left(\frac{\partial p}{\partial e}\right)_{\... ...ight)_{e};\; \left(\frac{\partial T}{\partial e}\right)_{\rho} \end{displaymath} (37)

All required thermodynamic coefficients can be expressed in terms of $\left(\frac{\partial p}{\partial e}\right)_{\rho}, \left(\frac{\partial p}{\partial \rho}\right)_{e}, \left(\frac{\partial T}{\partial e}\right)_{\rho}$: