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The Turbulent Stress Spectrum in the Inertial and Subinertial Ranges
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Stockholm University, Faculty of Science, Department of Astronomy. University of Colorado, USA; Carnegie Mellon University, USA.ORCID iD: 0000-0002-7304-021X
Number of Authors: 22020 (English)In: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 892, no 2, article id 80Article in journal (Refereed) Published
Abstract [en]

For velocity and magnetic fields, the turbulent pressure and, more generally, the squared fields such as the components of the turbulent stress tensor, play important roles in astrophysics. For both one and three dimensions, we derive the equations relating the energy spectra of the fields to the spectra of their squares. We solve the resulting integrals numerically and show that for turbulent energy spectra of Kolmogorov type, the spectral slope of the stress spectrum is also of Kolmogorov type. For shallower turbulence spectra, the slope of the stress spectrum quickly approaches that of white noise, regardless of how blue the spectrum of the field is. For fully helical fields, the stress spectrum is elevated by about a factor of two in the subinertial range, while that in the inertial range remains unchanged. We discuss possible implications for understanding the spectrum of primordial gravitational waves from causally generated magnetic fields during cosmological phase transitions in the early universe. We also discuss potential diagnostic applications to the interstellar medium, where polarization and scintillation measurements characterize the square of the magnetic field.

Place, publisher, year, edition, pages
2020. Vol. 892, no 2, article id 80
Keywords [en]
Interplanetary turbulence, Gravitational waves, Magnetohydrodynamics, Hydrodynamics
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-181346DOI: 10.3847/1538-4357/ab77bdISI: 000523620600001OAI: oai:DiVA.org:su-181346DiVA, id: diva2:1430989
Available from: 2020-05-18 Created: 2020-05-18 Last updated: 2022-02-26Bibliographically approved

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Brandenburg, Axel

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