A new vision of giant planet interiors: Impact of double diffusive convection

While conventional interior models for Jupiter and Saturn are based on the simplistic assumption of a solid core surrounded by a homogeneous gaseous envelope, we have derived new models with an inhomogeneous distribution of heavy elements within these planets. Such a compositional gradient hampers large-scale convection that turns into double-diffusive convection, yielding an inner thermal profile that departs from the traditionally assumed adiabatic interior and affecting these planets heat content and cooling history. To address this problem, we have developed an analytical approach to describe layered double-diffusive convection and apply this formalism to solar system gaseous giant planet interiors. These models satisfy all observational constraints and yield values for the metal enrichment of our gaseous giants that are up to 30% to 60% higher than previously thought. The models also constrain the size of the convective layers within the planets. Because the heavy elements tend to be redistributed within the gaseous envelope, the models predict smaller than usual central cores inside Saturn and Jupiter, with possibly no core for the latter. These models open a new window and raise new challenges to our understanding of the internal structure of giant (solar and extrasolar) planets, in particular on how to determine their heavy material content, a key diagnostic for planet formation theories.

[1]  A. Traxler,et al.  TURBULENT MIXING AND LAYER FORMATION IN DOUBLE-DIFFUSIVE CONVECTION: THREE-DIMENSIONAL NUMERICAL SIMULATIONS AND THEORY , 2010, 1012.0617.

[2]  Gregory Laughlin,et al.  ON THE ANOMALOUS RADII OF THE TRANSITING EXTRASOLAR PLANETS , 2011, 1101.5827.

[3]  S. Synnott,et al.  Gravity field of the Saturnian system from Pioneer and Voyager tracking data , 1985 .

[4]  V. Zharkov,et al.  The physics of planetary interiors , 1985 .

[5]  Gilles Chabrier,et al.  An Equation of State for Low-Mass Stars and Giant Planets , 1995 .

[6]  D. Stevenson Formation of the giant planets , 1982 .

[7]  T. Radko A mechanism for layer formation in a double-diffusive fluid , 2003, Journal of Fluid Mechanics.

[8]  E. Salpeter,et al.  The dynamics and helium distribution in hydrogen-helium fluid planets , 1977 .

[9]  David A. Jackson,et al.  Structure and Evolution , 1985 .

[10]  E. Salpeter,et al.  The phase diagram and transport properties for hydrogen-helium fluid planets , 1977 .

[11]  J. Turner,et al.  Salt fingers across a density interface , 1967 .

[12]  Steven D. Kawaler,et al.  Stellar interiors - physical principles, structure, and evolution , 1999, Astronomy and astrophysics library.

[13]  Yasunori Hori,et al.  Gas giant formation with small cores triggered by envelope pollution by icy planetesimals , 2011, 1106.2626.

[14]  T. Guillot,et al.  The Interior of Jupiter , 2004 .

[15]  Low frequency oscillations in turbulent Rayleigh-Benard convection: laboratory experiments , 1995 .

[16]  Tristan Guillot THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions , 2001 .

[17]  J. Fortney,et al.  The Interior Structure, Composition, and Evolution of Giant Planets , 2009, 0912.0533.

[18]  M. Stern The “Salt-Fountain” and Thermohaline Convection , 1960 .

[19]  Jack J. Lissauer,et al.  Formation of the Giant Planets by Concurrent Accretion of Solids and Gas , 1995 .

[20]  A. E. Gill,et al.  On thermohaline convection with linear gradients , 1969, Journal of Fluid Mechanics.

[21]  B. Militzer,et al.  SOLUBILITY OF WATER ICE IN METALLIC HYDROGEN: CONSEQUENCES FOR CORE EROSION IN GAS GIANT PLANETS , 2012 .

[22]  John P. Cox,et al.  Principles of stellar structure , 1968 .

[23]  D. SaumonT. Guillot Shock Compression of Deuterium and the Interiors of Jupiter and Saturn , 2004 .

[24]  D. Stevenson Cosmochemistry and structure of the giant planets and their satellites , 1985 .

[25]  D. Saumon,et al.  The Molecular-Metallic Transition of Hydrogen and the Structure of Jupiter and Saturn , 1992 .

[26]  N. Miller,et al.  A model of the entropy flux and Reynolds stress in turbulent convection , 2010, 1004.3239.

[27]  W. Hubbard Thermal structure of Jupiter , 1968 .

[28]  Gilles Chabrier,et al.  Evolution of low-mass star and brown dwarf eclipsing binaries , 2007, 0707.1792.

[29]  T. Barman,et al.  The physical properties of extra-solar planets , 2010, 1001.3577.

[30]  Ravi Kumar,et al.  Structure and Evolution Of , 2004 .

[31]  M. Podolak,et al.  Atmospheric mass deposition by captured planetesimals , 2007 .

[32]  J. Lunine,et al.  Enrichments in Volatiles in Jupiter: A New Interpretation of the Galileo Measurements , 2001 .

[33]  T. Guillot,et al.  SELF-CONSISTENT MODEL ATMOSPHERES AND THE COOLING OF THE SOLAR SYSTEM'S GIANT PLANETS , 2011, 1101.0606.

[34]  M. Marley,et al.  Optimized Jupiter, Saturn, and Uranus interior models , 1989 .

[35]  T. Radko What determines the thickness of layers in a thermohaline staircase? , 2005, Journal of Fluid Mechanics.

[36]  I. Baraffe,et al.  Structure and evolution of super-Earth to super-Jupiter exoplanets - I. Heavy element enrichment in the interior , 2008, 0802.1810.

[37]  Gilles Chabrier,et al.  Heat transport in giant (exo)planets: a new perspective , 2007 .