Statistics – Computation
Scientific paper
Dec 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011agufm.p23f..05w&link_type=abstract
American Geophysical Union, Fall Meeting 2011, abstract #P23F-05
Statistics
Computation
[0545] Computational Geophysics / Modeling, [5430] Planetary Sciences: Solid Surface Planets / Interiors, [6296] Planetary Sciences: Solar System Objects / Extra-Solar Planets
Scientific paper
The confirmed detections of CoRoT-7b and Kepler-10b reveal that rocky exoplanets exist. Moreover, recent theoretical studies suggest that small planets beyond the Solar System are indeed common and many of them will be discovered by increasingly precise observational surveys in the years ahead. The knowledge about the interior structure and thermal state of exoplanet interiors provides crucial theoretical input not only for classification and characterization of individual planetary bodies, but also to better understand the origin and evolution of the Solar System and the Earth in general. These developments and considerations have motivated us to address several questions concerning thermal structure and interior dynamics of terrestrial exoplanets. In the present study, depth-dependent structural models of solid exoplanet interiors have been constructed in conjunction with a mixing length approach to calculate self-consistently the radial distribution of temperature and heat flux. Furthermore, 2-D convection simulations using the compressible anelastic approximation have been carried through to examine the effect of thermodynamic quantities (e.g., thermal expansivity) on mantle convection pattern within rocky planets more massive than the Earth. In comparison to parameterized convection models, our calculated results predict generally hotter planetary interiors, which are mainly attributed to a viscosity-regulating feedback mechanism involving temperature and pressure. We find that density and thermal conductivity increase with depth by a factor of two to three, however, thermal expansivity decreases by more than an order of magnitude across the mantle for planets as massive as CoRoT-7b or Kepler-10b. The specific heat capacity is observed to stay almost constant over an extended region of the lower mantle. The planform of mantle convection is strongly modified in the presence of depth-dependent thermodynamic quantities with hot upwellings (plumes) rising across the whole mantle and cold downwellings (slabs) disperse in the mid-mantle. This may have a significant effect on thermal evolution, magnetic field generation, and the propensity of plate tectonics on rocky super-Earths. Model calculations also indicate that modest radiogenic heating through the decay of long-lived radioactive elements such as U, Th, and K has a negligible effect on the interior structure of rocky exoplanets. However, the calculated body tide Love numbers strongly scale with planetary mass suggesting that in resonant and sufficiently eccentric orbits the dissipation of tidal energy would substantially affect present thermal state and orbital evolution. Therefore, tidal heating provides a viable present-day heat source for close-in exoplanets such as CoRoT-7b and Kepler-10b.
Hussmann Hauke
Sohl Frank
Tosi Nicola
Wagner Frank W.
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