Scale Locality of Magnetohydrodynamic Turbulence

Aluie, Hussein; Eyink, Gregory L

doi:10.1103/PHYSREVLETT.104.081101

Title: Scale Locality of Magnetohydrodynamic Turbulence

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Abstract

We investigate the scale locality of cascades of conserved invariants at high kinetic and magnetic Reynold's numbers in the 'inertial-inductive range' of magnetohydrodynamic (MHD) turbulence, where velocity and magnetic field increments exhibit suitable power-law scaling. We prove that fluxes of total energy and cross helicity - or, equivalently, fluxes of Elsaesser energies--are dominated by the contributions of local triads. Flux of magnetic helicity may be dominated by nonlocal triads. The magnetic stretching term may also be dominated by nonlocal triads, but we prove that it can convert energy only between velocity and magnetic modes at comparable scales. We explain the disagreement with numerical studies that have claimed conversion nonlocally between disparate scales. We present supporting data from a 1024{sup 3} simulation of forced MHD turbulence.

Authors:

Aluie, Hussein ^[1]; Eyink, Gregory L ^[1]

Johns Hopkins University, Applied Mathematics and Statistics, Baltimore, Maryland 21218 (United States)

Publication Date:: Fri Feb 26 00:00:00 EST 2010

OSTI Identifier:: 21386813

Resource Type:: Journal Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 104; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.104.081101; (c) 2010 The American Physical Society; Journal ID: ISSN 0031-9007

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HELICITY; LOCALITY; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; TURBULENCE; VELOCITY; DIMENSIONLESS NUMBERS; FLUID MECHANICS; HYDRODYNAMICS; MATHEMATICS; MECHANICS; PARTICLE PROPERTIES

Citation Formats


                    Aluie, Hussein, Theoretical Division, and Eyink, Gregory L. Scale Locality of Magnetohydrodynamic Turbulence.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVLETT.104.081101.

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                    Aluie, Hussein, Theoretical Division, & Eyink, Gregory L. Scale Locality of Magnetohydrodynamic Turbulence.  United States.  https://doi.org/10.1103/PHYSREVLETT.104.081101

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                    Aluie, Hussein, Theoretical Division, and Eyink, Gregory L. 2010.  
        "Scale Locality of Magnetohydrodynamic Turbulence".  United States.  https://doi.org/10.1103/PHYSREVLETT.104.081101.

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@article{osti_21386813,

  title        = {Scale Locality of Magnetohydrodynamic Turbulence},

  author       = {Aluie, Hussein and Theoretical Division and Eyink, Gregory L},

  abstractNote = {We investigate the scale locality of cascades of conserved invariants at high kinetic and magnetic Reynold's numbers in the 'inertial-inductive range' of magnetohydrodynamic (MHD) turbulence, where velocity and magnetic field increments exhibit suitable power-law scaling. We prove that fluxes of total energy and cross helicity - or, equivalently, fluxes of Elsaesser energies--are dominated by the contributions of local triads. Flux of magnetic helicity may be dominated by nonlocal triads. The magnetic stretching term may also be dominated by nonlocal triads, but we prove that it can convert energy only between velocity and magnetic modes at comparable scales. We explain the disagreement with numerical studies that have claimed conversion nonlocally between disparate scales. We present supporting data from a 1024{sup 3} simulation of forced MHD turbulence.},

  doi          = {10.1103/PHYSREVLETT.104.081101},

  url          = {https://www.osti.gov/biblio/21386813},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 8,

  volume       = 104,

  place        = {United States},

  year         = {Fri Feb 26 00:00:00 EST 2010},

  month        = {Fri Feb 26 00:00:00 EST 2010}

}

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