The Kepler mission revealed that sub-Neptunes are about as common as stars. Sub-Neptunes have sizes between rocky terrestrial and gassy giant planets; their discovery defied our pre-existing notion of planet demographics. The prevailing view for sub-Neptunes was that they are mostly core by mass and atmosphere by volume [1]. (Although the alternative explanation that sub-Neptunes are waterworlds has not been ruled out [2], it does not explain the radius distribution with orbital period nor the densities of highly irradiated planets, among other problems, and so it is disfavored [3]). However, the current formation models lack material properties data (e.g. solubilities) for their core-atmosphere interface.
However, the temperature and pressure at the magma-atmosphere interface can rise to >3000 K and ~5-30 GPa [4][5], high enough for dissolution of hydrogen gas into the magma [6][7]. Thus, sub-Neptune magma oceans at the core-atmosphere interface are abundant, long-lived [8], and massive [9]. The dissolution of atmosphere into the magma may explain the drop-off in exoplanet abundance at 3 times Earth radius, but the puff-up of the magma due to gas dissolution was not included.
We propose a simple model to calculate sub-Neptune mass-radius relation including the puff-up effect. Key assumptions include: (1) the Fe/core mass fraction is Earth-like, and He/gas mass fraction is Solar-like; (2) photospheric radius is 6 scale heights above the radiative-convective boundary (RCB); (3) ideal mixing between the dissolved gas and magma; (4) the dissolved gas is well mixed over the silicate-layer, within which the temperature gradient is controlled by the properties of magma; (5) nonlinear solubility is constrained by limited laboratory data [9]. The equations-of-state (EoS) used are a Mg2SiO4 for the magma [10]; the H/He EoS [11]; and a simple model for Fe [12]. The model is integrated from the RCB and evolves until magma-atmospheric solubility equilibrium.
We have varied the core mass, atmospheric mass and equilibrium temperature in the atmosphere. Our preliminary results are shown in Figures. The critical point for the puff-up of the core due to the dissolved gas corresponds to ~1% solubility at the magma-atmosphere boundary (Fig. 1). The puff-up effect turns out to be important up to 0.3 Earth radius (Fig. 2), .e.g, much larger than the radius error bars for a single planet in the CKS survey with Gaia DR2 data [13].
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)
Figure 1: The solubility of gas at the magma-atmosphere interface as a function of temperature and pressure, assuming ideal gas mixture. Lines correspond to atmospheric profiles of sub-Neptunes with core masses of 10 Earth masses, situated at 0.1 AU from their host stars.
![](data:image/png;base64, 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)
Figure 2: Mass-radius relation of the core. Subscripts represent conditions at the magma-atmosphere interface. The blue curve is more representative of sub-Neptunes, while the red curve coincides with an air-less rocky planet (black).
In future, we will add additional constrain on gas/core mass fraction [14], forward-model the relationship between mass and photospheric radius (the observables), and generate early predictions for exoplanet masses and radii that can be used to help interpret data such as ESA’s PLAnetary Transits and Oscillations of stars (PLATO) and NASA’s Transiting Exoplanet Survey Satellite (TESS).
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