Two-dimensional partially ionized magnetohydrodynamic turbulence

Abstract

Ionization occurs in the upper atmospheres of hot Jupiters and in the interiors of Gas Giant Planets, leading to magnetohydrodynamic (MHD) effects which couple the momentum and the magnetic field, thereby significantly altering the dynamics. In regions of moderate temperatures the gas is only partially ionized, which also leads to interactions with neutral molecules. To explore the turbulent dynamics of these regions we utilize Partially-Ionized MHD (PIMHD), a two-fluid model -- one neutral and one ionized -- coupled by a collision term proportional to the difference in velocities. Motivated by planetary settings where rotation constrains the large-scale motions to be mostly two-dimensional, we perform a suite of simulations to examine the parameter space of 2D PIMHD turbulence and pay particular attention to collisions and their role in the dynamics, dissipation, and energy exchange between the two species. We arrive at, and numerically confirm, an expression for the energy loss due to collisions in both the weakly and strongly collisional limits, and show that, in the latter limit, the neutral fluid couples to the ions and behaves as an MHD fluid. Finally, we discuss some implications of our findings to current understanding of gas giant planet atmospheres.

arXiv commentUpdated manuscript (v2) published in JFM. 22 pages, 6 figures

References in corpus (41)

• The Interiors of Giant Planets: Models and Outstanding Questions
• Cascades and transitions in turbulent flows
• Inflating Hot Jupiters With Ohmic Dissipation
• Constraints on Deep-seated Zonal Winds Inside Jupiter and Saturn
• Magnetic Drag on Hot Jupiter Atmospheric Winds
• Heating of the magnetized solar chromosphere by partial ionization effects
• On the generation of solar spicules and Alfvénic waves
• Hall magnetohydrodynamics of partially ionized plasmas
• Partially Ionized Plasmas in Astrophysics
• Magnetic Field Structure and Stochastic Reconnection in a Partially Ionized Gas
• Magnetohydrodynamic waves in solar partially ionized plasmas: two-fluid approach
• Formation of Jets and Equatorial Superrotation on Jupiter
• Magnetic Scaling Laws for the Atmospheres of Hot Giant Exoplanets
• Generation of equatorial jets by large-scale latent heating on the giant planets
• Magnetohydrodynamic Simulations of the Atmosphere of HD 209458b
• Multi-fluid simulations of chromospheric magnetic reconnection in a weakly ionized reacting plasma
• Magnetically Controlled Circulation on Hot Extrasolar Planets
• Magnetic Reconnection in a Weakly Ionized Plasma
• Explaining Jupiter's magnetic field and equatorial jet dynamics
• Ionized Plasma and Neutral Gas Coupling in the Sun's Chromosphere and Earth's Ionosphere/Thermosphere
• Zonal Flow Magnetic Field Interaction in the Semi-Conducting Region of Giant Planets
• Damping of MHD turbulence in partially ionized plasma: implications for cosmic ray propagation
• Differential rotation in giant planets maintained by density-stratified turbulent convection
• A three-dimensional numerical method for modelling weakly ionized plasmas
• A numerical scheme for multifluid magnetohydrodynamics
• The Inability of Ambipolar Diffusion to set a Characteristic Mass Scale in Molecular Clouds
• Atmospheric Circulations of Hot Jupiters as Planetary Heat Engines
• On the edge of an inverse cascade
• Electrodynamics on extrasolar giant planets
• The hottest hot Jupiters may host Atmospheric Dynamos
• Anelastic spherical dynamos with radially variable electrical conductivity
• Chromospheric magnetic reconnection: Two-fluid simulations of coalescing current loops
• Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence
• On the thermal equilibrium state of large scale flows
• Direct Evidence for Two-Fluid Effects in Molecular Clouds
• Onset of Fast Magnetic Reconnection in Partially Ionized Gases
• A note on "Constraints on deep-seated zonal winds inside Jupiter and Saturn"
• Magnetohydrodynamics of Protostellar Disks
• Turbulent cascade, bottleneck and thermalized spectrum in hyperviscous flows
• Observational Diagnostics for Two-Fluid Turbulence in Molecular Clouds As Suggested by Simulations
• The formation of C-shocks: structure and signatures

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