Impact of pressure anisotropy on the cascade rate of Hall-MHD turbulence with biadiabatic ions

Abstract

The impact of ion pressure anisotropy on the energy cascade rate of Hall-MHD turbulence with biadiabatic ions and isothermal electrons is evaluated in three-dimensional direct numerical simulations, using the exact (or third-order) law derived in \citet{simon_exact_2022}. It is shown that pressure anisotropy can enhance or reduce the cascade rate, depending on the scales, in comparison with the prediction of the exact law with isotropic pressure, by an amount that correlates well with pressure anisotropy $a_p=\frac{p_{\perp }}{p_{\parallel }}\ne 1$ that develops in simulations initialized with an isotropic pressure (${a_p}_0=1$). A simulation with initial pressure anisotropy, ${a_p}_0=4$, confirms this trend, exhibiting a stronger impact on the cascade rate, both in the inertial range and at larger scales, close to the forcing scales. Furthermore, a Fourier-based numerical method, to compute exact laws in numerical simulations in the full $({\ell }_{\perp },{\ell }_{\parallel })$ increment plane, is presented.

20 pages, 11 figures, submitted to PRE

References in corpus (22)

• Observation of inertial energy cascade in interplanetary space plasma
• Simulations of Electron Magnetohydrodynamic Turbulence
• On the von Karman-Howarth equations for Hall MHD flows
• Energy Cascade Rate In Compressible Fast And Slow Solar Wind Turbulence
• Turbulence-driven ion beams in the magnetospheric Kelvin-Helmholtz instability
• Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence
• Compressible turbulence in the interstellar medium: New insights from a high-resolution supersonic turbulence simulation
• Spectral transfer and Kármán-Howarth-Monin equations for compressible Hall magnetohydrodynamics
• Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
• Exact relations for energy transfer in self-gravitating isothermal turbulence
• General exact law of compressible isentropic magnetohydrodynamic flows: theory and spacecraft observations in the solar wind
• Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
• Local cascade and dissipation in incompressible Hall magnetohydrodynamic turbulence: the Coarse-Graining approach
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Scale dependence and cross-scale transfer of kinetic energy in compressible hydrodynamic turbulence at moderate Reynolds numbers
• An in-depth numerical study of exact laws for compressible Hall magnetohydrodynamic turbulence
• Fluid energy cascade rate and kinetic damping: new insight from 3D Landau-fluid simulations
• Cascade of circulicity in compressible turbulence