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Title: Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence

Abstract

Magnetic energy (ME) and kinetic energy (KE) in ideal incompressible magnetohydrodynamics are not global invariants and, therefore, it has been justified to discuss only the cascade of their sum total energy. We provide a physical argument based on scale locality, along with compelling evidence that ME and KE budgets statistically decouple beyond a transitional “conversion” range. This arises because magnetic field-line stretching is a large-scale process which vanishes on average at intermediate and small scales within the inertial-inductive range, thereby allowing each of the mean ME and KE to cascade conservatively and at an equal rate, yielding a turbulent magnetic Prandtl number of unity over these scales.

Authors:
 [1];  [1]
  1. Univ. of Rochester, NY (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). LBNL Materials Project
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1508838
Alternate Identifier(s):
OSTI ID: 1505243; OSTI ID: 1542918
Report Number(s):
SC0014318; SC0019329; NA0003856; 80NSSC18K0772; AC02-05CH11231
Journal ID: ISSN 0031-9007; PRLTAO; 2018-270, 1491, 2450
Grant/Contract Number:  
NA0003856; SC0014318; SC0019329; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 13; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Bian, Xin, and Aluie, Hussein. Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.135101.
Bian, Xin, & Aluie, Hussein. Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence. United States. https://doi.org/10.1103/PhysRevLett.122.135101
Bian, Xin, and Aluie, Hussein. Mon . "Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence". United States. https://doi.org/10.1103/PhysRevLett.122.135101. https://www.osti.gov/servlets/purl/1508838.
@article{osti_1508838,
title = {Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence},
author = {Bian, Xin and Aluie, Hussein},
abstractNote = {Magnetic energy (ME) and kinetic energy (KE) in ideal incompressible magnetohydrodynamics are not global invariants and, therefore, it has been justified to discuss only the cascade of their sum total energy. We provide a physical argument based on scale locality, along with compelling evidence that ME and KE budgets statistically decouple beyond a transitional “conversion” range. This arises because magnetic field-line stretching is a large-scale process which vanishes on average at intermediate and small scales within the inertial-inductive range, thereby allowing each of the mean ME and KE to cascade conservatively and at an equal rate, yielding a turbulent magnetic Prandtl number of unity over these scales.},
doi = {10.1103/PhysRevLett.122.135101},
url = {https://www.osti.gov/biblio/1508838}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 13,
volume = 122,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:

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Cited by: 5 works
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    Works referencing / citing this record:

    Three-dimensional local anisotropy of velocity fluctuations in the solar wind
    journal, April 2019


    Partial Invariants, Large-scale Dynamo Action, and the Inverse Transfer of Magnetic Helicity
    journal, December 2019


    Do Androids Dream of Magnetic Fields? Using Neural Networks to Interpret the Turbulent Interstellar Medium
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