Constraining Alfvénic turbulence with helicity invariants
Author(s) -
S. M. Mahajan,
Manasvi Lingam
Publication year - 2020
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-8711
pISSN - 0035-8711
DOI - 10.1093/mnras/staa1318
Subject(s) - physics , equipartition theorem , helicity , turbulence , magnetic helicity , magnetohydrodynamics , kinetic energy , dynamo , scale (ratio) , turbulence kinetic energy , statistical physics , k omega turbulence model , classical mechanics , theoretical physics , magnetic field , mechanics , particle physics , quantum mechanics
In this paper, we study the constraints imposed by the invariants (generalized helicities and energy) of extended magnetohydrodynamics on some global characteristics of turbulence. We show that the global turbulent kinetic and magnetic energies will approach equipartition only under certain circumstances that depend on the ratio of the generalized helicities. In systems with minimal thermal energy, we demonstrate that the three invariants collectively determine the characteristic length scale associated with Alfvenic turbulence.
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