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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 MHD are not global invariants and, thus, it had 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 due to 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 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)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1508838
Alternate Identifier(s):
OSTI ID: 1505243
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
Resource Type:
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. doi:10.1103/PhysRevLett.122.135101.
Bian, Xin, and Aluie, Hussein. Mon . "Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence". United States. doi:10.1103/PhysRevLett.122.135101.
@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 MHD are not global invariants and, thus, it had 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 due to 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 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},
journal = {Physical Review Letters},
number = 13,
volume = 122,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
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This content will become publicly available on April 1, 2020
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