Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence

Bian, Xin; Aluie, Hussein

doi:10.1103/PhysRevLett.122.135101

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

Journal Article · Mon Apr 01 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.135101· OSTI ID:1508838

Bian, Xin ^[1]; Aluie, Hussein ^[1]

Univ. of Rochester, NY (United States)

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.

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Research Organization:: Univ. of Rochester, NY (United States); University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). LBNL Materials Project

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003856; SC0014318; SC0019329; AC02-05CH11231

OSTI ID:: 1508838

Alternate ID(s):: OSTI ID: 1505243; OSTI ID: 1542918

Report Number(s):: SC0014318; SC0019329; NA0003856; 80NSSC18K0772; AC02-05CH11231; PRLTAO; 2018-270, 1491, 2450

Journal Information:: Physical Review Letters, Vol. 122, Issue 13; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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