Giant planet evolution with MESA | Astronomy & Astrophysics (A&A)

Open Access

Table A.1

EoS in- and outputs for the MESA tables, their definitions and units; also see Paxton et al. (2011) and (Müller 2021).


Input	Definition	Units
T	Temperature	K
ρ	Density	g cm⁻³

Output

p	Gas pressure	erg cm⁻³
s	Entropy per gram	erg g⁻¹ K⁻¹
u	Internal energy per gram	erg g⁻¹
χ_ρ	${\equiv \frac{\partial \ln p}{\partial \ln ρ} \|}_{T}$ $\[\left.\equiv \frac{\partial ~\ln~ p}{\partial ~\ln~ \rho}\right\|_T\]$	None
χ_T	${\equiv \frac{\partial \ln p}{\partial \ln T} \|}_{ρ}$ $\[\left.\equiv \frac{\partial ~\ln~ p}{\partial ~\ln~ T}\right\|_\rho\]$	None
∇_ad	${\equiv \frac{\partial \ln T}{\partial \ln p} \|}_{s}$ $\[\left.\equiv \frac{\partial ~\ln~ T}{\partial ~\ln~ p}\right\|_s\]$	None
c_p	Specific heat at constant pressure	erg g⁻¹ K⁻¹
c_V	Specific heat at constant V ≡ 1/ρ	erg g⁻¹ K⁻¹
Γ₁	${\equiv \frac{\partial \ln p}{\partial \ln ρ} \|}_{s}$ $\[\left.\equiv \frac{\partial ~\ln~ p}{\partial ~\ln~ \rho}\right\|_s\]$	None
Γ₃	${\equiv \frac{\partial \ln T}{\partial \ln ρ} \|}_{s} + 1$ $\[\left.\equiv \frac{\partial ~\ln~ T}{\partial ~\ln~ \rho}\right\|_s+1\]$	None
${\frac{\partial s}{\partial ρ} \|}_{T}$ $\[\left.\frac{\partial s}{\partial \rho}\right\|_T\]$	—	erg cm³ g⁻² K⁻¹
${\frac{\partial s}{\partial T} \|}_{ρ}$ $\[\left.\frac{\partial s}{\partial T}\right\|_\rho\]$	—	erg g⁻¹ K⁻²
${\frac{\partial u}{\partial ρ} \|}_{T}$ $\[\left.\frac{\partial u}{\partial \rho}\right\|_T\]$	—	erg cm³ g⁻²
μ	Mean molecular weight per gas particle	None
η	Ratio of electron chemical potential to k_bT	None
1/μ_e	Mean number of free electrons per nucleon	None

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.