The Density Probability Distribution in Compressible Isothermal Turbulence: Solenoidal versus Compressive Forcing
arXiv:0808.0605 · doi:10.1086/595280
Abstract
The probability density function (PDF) of the gas density in turbulent supersonic flows is investigated with high-resolution numerical simulations. In a systematic study, we compare the density statistics of compressible turbulence driven by the usually adopted solenoidal forcing (divergence-free) and by compressive forcing (curl-free). Our results are in agreement with studies using solenoidal forcing. However, compressive forcing yields a significantly broader density distribution with standard deviation ~3 times larger at the same rms Mach number. The standard deviation-Mach number relation used in analytical models of star formation is reviewed and a modification of the existing expression is proposed, which takes into account the ratio of solenoidal and compressive modes of the turbulence forcing.
5 pages, 3 figures, accepted to ApJL, simulation movies available at http://www.ita.uni-heidelberg.de/~chfeder/videos.shtml?lang=en
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- Star formation in IRDC G31.97+0.07
- Generalised transport equation of the Autocovariance Function of the density field and mass invariant in star-forming clouds
- Molecular Cloud Matching in CO and Dust in M33 I. High-Resolution Hydrogen Column Density Maps from Herschel
- Prestellar Cores in Turbulent Clouds: Numerical Modeling and Evolution to Collapse
- Extraction of a second power-law tail of the density distribution in simulated clouds
- Exploring the intermittency of magnetohydrodynamic turbulence by synchrotron polarization radiation
- Decaying turbulence in molecular clouds: how does it affect filament networks and star formation?
- The turbulence driving parameter of molecular clouds in disc galaxies
- Diversity of dwarf galaxy IR-submm emission patterns: CLUES from hydrodynamical simulations
- Supersonic turbulence simulations with GPU-based high-order Discontinuous Galerkin hydrodynamics
- Wide-binary eccentricity distribution in young star clusters: dependence on the binary separation and mass
- Multiphase gas in elliptical galaxies: the role of Type Ia supernovae
- Finite shock model of density in supersonic turbulence
- Solenoidal versus compressive turbulence forcing
- Effects of Forcing on Shocks and Energy Dissipation in Interstellar and Intracluster Turbulences
- Reconstructing the genesis of a globular cluster system at a look-back time of 9.1 Gyr with the JWST
- Touching the Stars: Using High-Resolution 3D Printing to Visualize Stellar Nurseries
- Dust dynamics in RAMSES -- II. Equilibrium drift velocity distributions of charged dust grains
- Density profile of a self-gravitating polytropic turbulent fluid in a rotating disk near to the cloud core
- Power spectra of outflow-driven turbulence
- A Probabilistic Model to Estimate Number Densities from Column Densities in Molecular Clouds
- Structure of iso-density sets in supersonic isothermal turbulence
- Measuring the spectral index of turbulent gas with deep learning from projected density maps
- Formation of prestellar cores via non-isothermal gas fragmentation
- SIGAME v3: Gas Fragmentation in Post-processing of Cosmological Simulations for More Accurate Infrared Line Emission Modeling
- Does the HCN/CO ratio trace the star-forming fraction of gas? II. Variations in CO and HCN Emissivity
- Estimating the dense gas mass of molecular clouds using spatially unresolved 3 mm line observations
- Star formation in cloud cores -- simulations and observations of dense molecular cores and the formation of solar mass stars
- CO mapping of Cygnus-X -- volume density distribution
- Statistical properties and correlation length in star-forming molecular clouds: II. Gravitational potential and virial parameter
- Primordial Black Holes Formed during Magneto-Hydrodynamic Turbulence in The Early Universe as Dominant Part of Dark Matter
- Hydrodynamic and Magnetohydrodynamic Simulations of Wire Turbulence
- Magnetic fields and Turbulence in Star Formation using Smoothed Particle Hydrodynamics
- Diagnosing Turbulence in the Neutral and Molecular Interstellar Medium of Galaxies
- Density profile of a self-gravitating polytropic turbulent fluid in the context of ensembles of molecular clouds
- The IRAM M33 CO(2-1) Survey - A complete census of the molecular gas out to 7 kpc
- Star Formation
- From 2D to 3D: Recovering Turbulent Density Dispersions from Noisy Data
- The signature of large scale turbulence driving on the structure of the interstellar medium
- An Improved Fit to the Density Distribution in Supersonic Isothermal Turbulence