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Thermal Structure and Radius Evolution of Irradiated Gas Giant Planets

  • Authors: Phil Arras and Lars Bildsten

Arras & Bildsten 2006 The Astrophysical Journal 650 394.

  • Provider: AAS Journals

Caption: Fig. 6.

Logarithmic temperature gradient ∇ (solid lines) as a function of pressure for models with ﹩M=M_{\mathrm{J}\,}﹩, ﹩S=8k_{\mathrm{B}\,}/ m_{p}﹩, and ﹩T_{\mathrm{deep}\,}( \mathrm{K}\,) =500﹩, 1000, 2000, and 3000 from left to right. The two dashed lines show the analytic formula in eq. (13) with parameters ﹩( \nabla _{\infty },a,P_{\mathrm{deep}\,}[ \mathrm{dynes}\,\ \mathrm{cm}\,^{-2}] ) =( 0.5,0.0,3.5\times 10^{7}) ﹩ and ﹩( 0.5,1.0,2.0\times 10^{9}) ﹩. The upper envelope is set by the adiabatic gradient ∇ad in the convection zone. Note the appearance of a radiative window that causes the radiative‐convective boundary to be at ﹩P\simeq 10^{8.5}﹩ dynes cm−2 for a large range in ﹩T_{\mathrm{deep}\,}﹩.

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