Photochemical hazes are expected to be present in exoplanet atmospheres with quantities spanning a large range of values, from quasi-non-detectable traces in clear atmospheres, to large amounts dramatically modifying their environment. Our purpose is to determine the properties of these haze particles in hot- Jupiters’ atmosphere.
We first calculate thermochemical abundances (Gordon & McBride, 1994) and haze distributions from a microphysics model (Lavvas & Koskinen, 2017), using clear-atmosphere temperature profiles (Sing et al., 2016). This allows to derive the theoretical spectrum that can be be confronted to the observations to determine the best couple of parameters defining the haze production. These best-fitting parameters are then used in a disequilibrium chemistry (Lavvas et al., 2014) and microphysics model, providing a more detailed picture of the atmosphere. The calculated chemical and haze distributions allow for the evaluation of a new temperature profile (Lavvas & Arfaux, 2021) for each planet which can be used in the disequilibrium chemistry model. This process is repeated until the model is converged providing a self-consistent picture of the atmosphere.
Disequilibrium chemistry accounts for transport of species through the atmosphere as well as their interactions with the radiation field. The implications of these effects are revealed by comparing the thermochemical equilibrium abundances with those derived by the disequilibrium model. Chemical distributions basically show larger mixing ratios between 1e-2 and 1e-6 bar compared to thermochemical equilibrium and lower mixing ratios above 1e-6 bar altitude related to the destruction of molecules through photolysis (Fig. 1). These modifications of the chemical composition do not have significant impact on the calculated transit spectra (Fig. 2) considering the resolution and precision of the observations and the still small abundances of the modified species. Water, that has a major signature on the transit spectra is modified above 1e-6bar, in a region that is not affecting by the observations. However, the disequilibrium chemistry allows for the calculation of the mass flux from the photolysis of species considered as haze precursors, thus providing additional constraints to assess the realisticity of the haze production parameters retrieved from thermochemical equilibrium.
![](https://www.epsc2021.eu/_protected/abstractImages/274009-1-1.png)
Fig.1: Haze precursors mixing ratio comparison between thermochemical and disequilibrium abundances.
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Figure 2: Transit spectra obtained from thermochemical equilibrium (blue line) and disequilibrium chemistry (orange line) compared to observations (black crosses) from Sing et al. (2016); Wong et al. (2020); Carter et al. (2020)
Disequilibrium composition gases and haze opacities have major impact on the temperature profile (Lavvas & Arfaux, 2021) which, in turn, has a large influence on the chemical composition and haze growth. These feedback effects are investigated through a self-consistent model coupling temperature, haze and chemical profiles calculation. Results show a clear trend for the increase of temperature under the influence of haze heating (Fig. 3), which has further ramifications on chemistry and haze profiles.
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)
Figure 3: Self-consistently derived temperature profiles (dotted lines) and initial haze-free temperature profiles (solid line) from Sing et al. (2016) for HD- 189733b (left panel) and WASP-6b (right panel). The horizontal black lines corresponds to the radiative/convective boundaries.
These modifications in the atmospheric chemical and microphysics composition have a major impact on the transit spectra, with the most important feature being the increase of the atmospheric scale height due to the higher temperatures, thus yielding a larger transit depth. This last effect can thus enhance the steepness of the UV-visible slope observed in the spectra (Fig. 4) and decreases the requirement for a strong haze mass flux. These results demonstrate the need for a self-consistent description of haze interaction with the atmosphere.
![](data:image/png;base64, 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)
Figure 4: Disequilibrium (red line) and self-consistent (blue line) theoretical spectra compared to observations (black crosses).
References
Figure 4: Disequilibrium (red line) and self-consistent (blue line) theoretical spectra compared to observations (black crosses).
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