Nonlocal Contributions to the Turbulent Cascade in Magnetohydrodynamic Turbulence
arxiv(2023)
摘要
We present evidence for nonlocal contributions to the turbulent energy
cascade in magnetohydrodynamic (MHD) plasmas. Therefore, we revisit a
well-known result derived directly from the MHD equations, i.e., the Politano
and Pouquet (P P) law for the transfer of kinetic and magnetic energy in scale.
We propose adding a term that accounts for nonlocal transfer and represents the
influence of fluctuations from large scales due to the Alfvén effect.
Supported by direct numerical simulations of homogeneous and isotropic MHD
turbulence, we verify that in some plasma configurations, neglecting the
additional nonlocal term might consistently overestimate energy dissipation
rates and, thus, the contributions of turbulent energy dissipation potentially
affecting solar wind heating; a central puzzle in space plasma physics that
motivates the present work.
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