Lagrangian characterization of sub-Alfv’enic turbulence energetics. (arXiv:2209.14143v2 [physics.flu-dyn] UPDATED)
<a href="http://arxiv.org/find/physics/1/au:+Skalidis_R/0/1/0/all/0/1">R. Skalidis</a>, <a href="http://arxiv.org/find/physics/1/au:+Tassis_K/0/1/0/all/0/1">K. Tassis</a>, <a href="http://arxiv.org/find/physics/1/au:+Pavlidou_V/0/1/0/all/0/1">V. Pavlidou</a>
The energetics of strongly magnetized turbulence has so far resisted all
attempts to understand them. Numerical simulations of compressible turbulence
reveal that kinetic energy can be orders of magnitude larger than fluctuating
magnetic energy. We solve this lack-of-balance puzzle by calculating the
energetics of compressible and sub-Alfv’enic turbulence based on the dynamics
of coherent cylindrical fluid parcels. Using a Lagrangian formulation, we prove
analytically that the bulk of the magnetic energy transferred to kinetic is the
energy stored in the coupling between the initial and fluctuating magnetic
field. The analytical relations are in striking agreement with numerical data,
up to second order terms.
The energetics of strongly magnetized turbulence has so far resisted all
attempts to understand them. Numerical simulations of compressible turbulence
reveal that kinetic energy can be orders of magnitude larger than fluctuating
magnetic energy. We solve this lack-of-balance puzzle by calculating the
energetics of compressible and sub-Alfv’enic turbulence based on the dynamics
of coherent cylindrical fluid parcels. Using a Lagrangian formulation, we prove
analytically that the bulk of the magnetic energy transferred to kinetic is the
energy stored in the coupling between the initial and fluctuating magnetic
field. The analytical relations are in striking agreement with numerical data,
up to second order terms.
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