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Nature and Scalings of Density Fluctuations of Compressible Magnetohydrodynamic Turbulence with Applications to the Solar Wind

Journal Article · · The Astrophysical Journal
Abstract

The solar wind is a magnetized and turbulent plasma. Its turbulence is often dominated by Alfvénic fluctuations and often deemed as nearly incompressible far away from the Sun, as shown by in situ measurements near 1 au. However, for solar wind closer to the Sun, the plasma β decreases (often lower than unity) while the turbulent Mach number M t increases (can approach unity, e.g., transonic fluctuations). These conditions could produce significantly more compressible effects, characterized by enhanced density fluctuations, as seen by several space missions. In this paper, a series of 3D MHD simulations of turbulence are carried out to understand the properties of compressible turbulence, particularly the generation of density fluctuations. We find that, over a broad range of parameter space in plasma β , cross helicity, and polytropic index, the turbulent density fluctuations scale linearly as a function of M t , with the scaling coefficients showing weak dependence on parameters. Furthermore, through detailed spatiotemporal analysis, we show that the density fluctuations are dominated by low-frequency nonlinear structures, rather than compressible MHD eigenwaves. These results could be important for understanding how compressible turbulence contributes to solar wind heating near the Sun.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
National Aeronautics and Space Administration (NASA); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1886102
Alternate ID(s):
OSTI ID: 1962791
Report Number(s):
LA-UR-22-32609
Journal Information:
The Astrophysical Journal, Journal Name: The Astrophysical Journal Journal Issue: 2 Vol. 936; ISSN 0004-637X
Publisher:
American Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (50)

MHD structures, waves and turbulence in the solar wind: Observations and theories journal July 1995
The Solar Probe Plus Mission: Humanity’s First Visit to Our Star journal November 2015
Anisotropy in MHD turbulence due to a mean magnetic field journal June 1983
Parametric decay of parallel and oblique Alfvén waves in the expanding solar wind journal August 2014
Plasma Beta above a Solar Active Region: Rethinking the Paradigm journal January 2001
Formation of pressure-balanced structures and fast waves from nonlinear Alfvén waves journal March 1999
Nearly incompressible magnetohydrodynamics, pseudosound, and solar wind fluctuations journal January 1991
Waves and turbulence in the solar wind journal January 1992
Scaling of density fluctuations with Mach number and density-temperature anticorrelations in the inner heliosphere journal May 1993
On the nature of compressive fluctuations in the solar wind journal January 1994
Density-temperature correlation in solar wind magnetohydrodynamic fluctuations: A test for nearly incompressible models journal January 1995
Density fluctuation spectra in magnetohydrodynamic turbulence journal January 1987
Evidence for the presence of quasi-two-dimensional nearly incompressible fluctuations in the solar wind journal January 1990
Compressible magnetohydrodynamic turbulence: mode coupling, scaling relations, anisotropy, viscosity-damped regime and astrophysical implications journal October 2003
Alfvénic versus non-Alfvénic turbulence in the inner heliosphere as observed by Parker Solar Probe journal June 2021
The near-Sun streamer belt solar wind: turbulence and solar wind acceleration journal June 2021
Waves and turbulence in magnetohydrodynamic direct numerical simulations journal June 2009
Particle in cell simulations of fast magnetosonic wave turbulence in the ion cyclotron frequency range journal December 2009
Compressibility effect on coherent structures, energy transfer, and scaling in magnetohydrodynamic turbulence journal March 2017
Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence journal October 2017
Nearly incompressible fluids. II: Magnetohydrodynamics, turbulence, and waves journal January 1993
Nearly incompressible magnetohydrodynamics at low Mach number journal January 1988
Turbulence transport in the solar corona: Theory, modeling, and Parker Solar Probe journal August 2021
Dynamics of the Interplanetary Gas and Magnetic Fields. journal September 1958
An instability of finite amplitude circularly polarized Alfven waves journal January 1978
Modulational instability of finite-amplitude, circularly polarized Alfven waves journal September 1978
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence journal January 1995
Compressible Magnetohydrodynamic Turbulence in Interstellar Plasmas journal November 2001
Density Fluctuations in MHD Turbulence: Spectra, Intermittency, and Topology journal March 2007
Inhomogeneous Nearly Incompressible Description of Magnetohydrodynamic Turbulence journal June 2010
Energy occupation of waves and structures in 3D compressive MHD turbulence journal June 2019
Parker Solar Probe Enters the Magnetically Dominated Solar Corona journal December 2021
Compressible Sub-Alfvénic MHD Turbulence in Low- β Plasmas journal May 2002
Weak Compressible Magnetohydrodynamic Turbulence in the Solar Corona journal December 2005
Properties of Magnetohydrodynamic Modes in Compressively Driven Plasma Turbulence journal July 2020
Matplotlib: A 2D Graphics Environment journal January 2007
The Solar Wind as a Turbulence Laboratory journal January 2013
Theory and Transport of Nearly Incompressible Magnetohydrodynamic Turbulence journal January 2017
The Parametric Decay Instability of Alfvén Waves in Turbulent Plasmas and the Applications in the Solar Wind journal June 2017
Parametric Decay Instability and Dissipation of Low-frequency Alfvén Waves in Low-beta Turbulent Plasmas journal March 2018
Frequency-dependent Alfvén-wave Propagation in the Solar Wind: Onset and Suppression of Parametric Decay Instability journal June 2018
Parametric Decay and the Origin of the Low-frequency Alfvénic Spectrum of the Solar Wind journal October 2018
Polytropic Behavior of Solar Wind Protons Observed by Parker Solar Probe journal September 2020
Spatiotemporal Analysis of Waves in Compressively Driven Magnetohydrodynamics Turbulence journal December 2021
On the Existence of Fast Modes in Compressible Magnetohydrodynamic Turbulence journal February 2022
Magnetic Field Kinks and Folds in the Solar Wind journal February 2020
Turbulence Transport Modeling and First Orbit Parker Solar Probe (PSP) Observations journal February 2020
The Evolution and Role of Solar Wind Turbulence in the Inner Heliosphere journal February 2020
The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers journal June 2020
Three-dimensional Simulation of the Fast Solar Wind Driven by Compressible Magnetohydrodynamic Turbulence journal July 2019

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