skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The density distribution and physical origins of intermittency in supersonic, highly magnetized turbulence with diverse modes of driving

Journal Article · · Monthly Notices of the Royal Astronomical Society
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]
  1. Australian National Univ., Canberra, ACT (Australia); Univ. of California, Santa Cruz, CA (United States)
  2. Princeton Univ., NJ (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Australian National Univ., Canberra, ACT (Australia); Australian Research Council Center of Excellence in All Sky Astrophysics (ASTRO3D), Canberra, ACT (Australia)
  4. Heidelberg Univ. (Germany). Institut fuer Theoretische Physik

The probability density function (PDF) of the logarithmic density contrast, s = ln (ρ/ρ0), with gas density ρ and mean density ρ0, for hydrodynamical supersonic turbulence is well known to have significant non-Gaussian (intermittent) features that monotonically increase with the turbulent Mach number, M. By studying the mass- and volume-weighted s-PDF for an ensemble of 36 sub-to-trans-Alfvenic mean-field, supersonic, isothermal turbulence simulations with different modes of driving, relevant to molecular gas in the cool interstellar medium, we show that a more intricate picture emerges for the non-Gaussian nature of s. Using four independent measures of the non-Gaussian components, we find hydrodynamical-like structure in the highly magnetized plasma for M≲4. However, for M≳4, the non-Gaussian signatures disappear, leaving approximately Gaussian s-statistics – exactly the opposite of hydrodynamical turbulence in the high-M limit. We also find that the non-Gaussian components of the PDF increase monotonically with more compressive driving modes. To understand the M≲4 non-Gaussian features, we use one-dimensional pencil beams to explore the dynamics along and across the large-scale magnetic field, B0. Here we discuss kinetic, density, and magnetic field fluctuations from the pencil beams, and identify physical sources of non-Gaussian components to the PDF as single, strong shocks coupled to fast magnetosonic compressions that form along B0. We discuss the Gaussianization of the M≳4 s-fields through the lens of two phenomenologies: the self-similarity of the s-field and homogenization of the dynamical time-scales between the over- and underdense regions in the compressible gas.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); National Aeronautics and Space Administration (NASA); European Research Council (ERC); Gauss Centre for Supercomputing
Grant/Contract Number:
AC52-07NA27344; PF7-180164; 855130; pr32lo; pr48pi; pr74nu; pn73f
OSTI ID:
1959545
Report Number(s):
LLNL-JRNL-826867; 1041342; TRN: US2312884
Journal Information:
Monthly Notices of the Royal Astronomical Society, Vol. 517, Issue 4; ISSN 0035-8711
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United States
Language:
English

References (101)

FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes journal November 2000
Velocity-coherent Filaments in NGC 1333: Evidence for Accretion Flow? journal March 2020
The Temperature of Turbulent Flows journal January 1996
Dense gas formation in the Musca filament due to the dissipation of a supersonic converging flow journal September 2020
A Super‐Alfvenic Model of Dark Clouds journal November 1999
First extragalactic measurement of the turbulence driving parameter: ALMA observations of the star-forming region N159E in the Large Magellanic Cloud journal October 2021
On the Formation of Density Filaments in the Turbulent Interstellar Medium journal June 2019
The relative orientation between the magnetic field and gas density structures in non-gravitating turbulent media journal October 2020
Intermittency of interstellar turbulence: extreme velocity-shears and CO emission on milliparsec scale journal October 2009
Generation of Solenoidal Modes and Magnetic Fields in Turbulence Driven by Compressive Driving journal April 2020
Hierarchical Structure in Nearly Pressureless Flows as a Consequence of Self-similar Statistics journal March 1994
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence journal January 1995
Inefficient star formation through turbulence, magnetic fields and feedback journal May 2015
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics journal September 2005
The relation between the turbulent Mach number and observed fractal dimensions of turbulent clouds journal July 2019
The Density Probability Distribution in Compressible Isothermal Turbulence: Solenoidal versus Compressive Forcing journal October 2008
The density variance–Mach number relation in isothermal and non-isothermal adiabatic turbulence journal June 2015
On the universality of interstellar filaments: theory meets simulations and observations journal January 2016
Magnetic Fields in Molecular Clouds—Observation and Interpretation journal June 2021
The Statistics of Supersonic Isothermal Turbulence journal August 2007
Turbulent mixing in the interstellar medium: an application for Lagrangian tracer particles journal December 2008
The distribution of density in supersonic turbulence journal July 2017
The Star Formation Rate in the Gravoturbulent Interstellar Medium journal August 2018
THE COLUMN DENSITY VARIANCE-${\cal M}_s$ RELATIONSHIP journal July 2012
A model for (non-lognormal) density distributions in isothermal turbulence journal February 2013
Dense Regions in Supersonic Isothermal Turbulence journal February 2018
Intermittency of Fast MHD Modes and Regions of Anomalous Gradient Orientation in Low-β Plasmas journal April 2021
On the turbulence driving mode of expanding H ii regions journal February 2020
scikit-image: image processing in Python journal January 2014
Formation of Magnetized Prestellar Cores with Ambipolar Diffusion and Turbulence journal March 2014
The development of magnetic field line wander by plasma turbulence journal August 2017
The Probability Distribution of Density Fluctuations in Supersonic Turbulence journal August 2019
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests journal May 2011
On the universality of supersonic turbulence journal September 2013
A method for reconstructing the variance of a 3D physical field from 2D observations: application to turbulence in the interstellar medium journal April 2010
On the origin of non-self-gravitating filaments in the ISM journal August 2013
Magnetic field orientation in self-gravitating turbulent molecular clouds journal March 2021
The star Formation rate of Turbulent Magnetized Clouds: Comparing Theory, Simulations, and Observations journal December 2012
Properties of Magnetohydrodynamic Modes in Compressively Driven Plasma Turbulence journal July 2020
A multishock model for the density variance of anisotropic, highly magnetized, supersonic turbulence journal April 2021
Planck intermediate results : XXXIV. The magnetic field structure in the Rosette Nebula journal February 2016
Density Power Spectrum of Compressible Hydrodynamic Turbulent Flows journal August 2005
Density Studies of mhd Interstellar Turbulence: Statistical Moments, Correlations and Bispectrum journal March 2009
On the star Formation Efficiency of Turbulent Magnetized Clouds journal January 2013
Matplotlib: A 2D Graphics Environment journal January 2007
Filaments and striations: anisotropies in observed, supersonic, highly magnetized turbulent clouds journal December 2019
The relative orientation between the magnetic field and gradients of surface brightness within thin velocity slices of 12CO and 13CO emission from the Taurus molecular cloud journal June 2020
Turbulence and star formation efficiency in molecular clouds: solenoidal versus compressive motions in Orion B journal March 2017
SHOCKFIND - an algorithm to identify magnetohydrodynamic shock waves in turbulent clouds journal August 2016
The density variance-Mach number relation in supersonic turbulence - I. Isothermal, magnetized gas journal May 2012
Universal scaling laws in fully developed turbulence journal January 1994
Algorithmic comparisons of decaying, isothermal, supersonic turbulence journal October 2009
A new Density Variance–Mach Number Relation for Subsonic and Supersonic Isothermal Turbulence journal December 2012
A method for reconstructing the PDF of a 3D turbulent density field from 2D observations: PDF of a 3D density field from 2D observation journal April 2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves journal March 2010
The link Between Turbulence, Magnetic Fields, Filaments, and star Formation in the Central Molecular zone Cloud G0.253+0.016 journal November 2016
Modeling Star Formation as a Markov Process in a Supersonic Gravoturbulent Medium journal September 2018
Density Fluctuations in MHD Turbulence: Spectra, Intermittency, and Topology journal March 2007
Shock Waves and Energy Dissipation in Magnetohydrodynamic Turbulence journal April 2019
Flexible lognormal sum approximation method conference January 2005
The Role of Magnetic Field in Molecular Cloud Formation and Evolution journal March 2019
WHAT DETERMINES THE DENSITY STRUCTURE OF MOLECULAR CLOUDS? A CASE STUDY OF ORION B WITH HERSCHEL journal March 2013
Is the Scaling of Supersonic Turbulence Universal? journal November 2008
On the compressive nature of turbulence driven by ionizing feedback in the pillars of the Carina Nebula journal October 2020
The density structure and star formation rate of non-isothermal polytropic turbulence journal March 2015
Collapse, outflows and fragmentation of massive, turbulent and magnetized prestellar barotropic cores journal March 2011
Magnetic field morphology in interstellar clouds with the velocity gradient technique journal June 2019
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers journal July 1991
Comparing the statistics of interstellar turbulence in simulations and observations: Solenoidal versus compressive turbulence forcing journal March 2010
One‐Point Probability Distribution Functions of Supersonic Turbulent Flows in Self‐gravitating Media journal June 2000
The relation between the column density structures and the magnetic field orientation in the Vela C molecular complex journal July 2017
Weakly Compressible Magnetohydrodynamic Turbulence in the Solar Wind and the Interstellar Medium journal February 1998
Turbulent density and pressure fluctuations in the stratified intracluster medium journal November 2020
Curvature of Magnetic Field Lines in Compressible Magnetized Turbulence: Statistics, Magnetization Predictions, Gradient Curvature, Modes, and Self-gravitating Media journal July 2020
Star formation from dense shocked regions in supersonic isothermal magnetoturbulence journal July 2018
The Density Variance–Mach Number Relation in Supersonic, Isothermal Turbulence journal December 2010
Magnetized filamentary gas flows feeding the young embedded cluster in Serpens South journal August 2020
SciPy 1.0: fundamental algorithms for scientific computing in Python journal February 2020
A General Theory of Turbulence‐regulated Star Formation, from Spirals to Ultraluminous Infrared Galaxies journal September 2005
Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks journal December 2011
The Formation of Stellar Clusters in Turbulent Molecular Clouds: Effects of the Equation of State journal August 2003
A comparison between grid and particle methods on the statistics of driven, supersonic, isothermal turbulence: Supersonic turbulence: grid versus SPH journal June 2010
Comparing Numerical Methods for Isothermal Magnetized Supersonic Turbulence journal July 2011
On the Evolution of the Density Probability Density Function in Strongly Self-Gravitating Systems journal January 2014
Energy balance and Alfvén Mach numbers in compressible magnetohydrodynamic turbulence with a large-scale magnetic field journal July 2022
Magnetic field amplification in turbulent astrophysical plasmas journal November 2016
As a Matter of State: The Role of Thermodynamics in Magnetohydrodynamic Turbulence journal January 2020
The Sum and Difference of Two Lognormal Random Variables journal January 2012
A Markov Model for Non-lognormal Density Distributions in Compressive Isothermal Turbulence journal October 2019
Density probability distribution in one-dimensional polytropic gas dynamics journal October 1998
A new method for probing magnetic field strengths from striations in the interstellar medium journal October 2018
The link between magnetic fields and filamentary clouds: bimodal cloud orientations in the Gould Belt journal November 2013
Array programming with NumPy journal September 2020
Cython: The Best of Both Worlds journal March 2011
Moving-mesh Simulations of Star-forming Cores in Magneto-gravo-turbulence journal March 2017
The JCMT BISTRO Survey: The Distribution of Magnetic Field Strengths toward the OMC-1 Region journal May 2021
The star Formation rate of Supersonic Magnetohydrodynamic Turbulence journal March 2011
Magnetic field fluctuations in anisotropic, supersonic turbulence journal August 2020
Intermittency of interstellar turbulence: parsec-scale coherent structure of intense, velocity shear journal May 2009
Turbulence in stratified atmospheres: implications for the intracluster medium journal March 2020
The sonic scale of interstellar turbulence journal January 2021