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Statistical properties of scale-invariant helical magnetic fields and applications to cosmology
Stockholm University, Faculty of Science, Department of Astronomy. Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Colorado, U.S.A; Carnegie Mellon University, U.S.A..
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Number of Authors: 52018 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 8, article id 034Article in journal (Refereed) Published
Abstract [en]

We investigate the statistical properties of isotropic, stochastic, Gaussian distributed, helical magnetic fields characterized by different shapes of the energy spectra at large length scales and study the associated realizability condition. We discuss smoothed magnetic fields that are commonly used when the primordial magnetic field is constrained by observational data. We are particularly interested in scale-invariant magnetic fields that can be generated during the inflationary stage by quantum fluctuations. We determine the correlation length of such magnetic fields and relate it to the infrared cutoff of perturbations produced during inflation. We show that this scale determines the observational signatures of the inflationary magnetic fields on the cosmic microwave background. At smaller scales, the scale-invariant spectrum changes with time. It becomes a steeper weak-turbulence spectrum at progressively larger scales. We show numerically that the critical length scale where this happens is the turbulent-diffusive scale, which increases with the square root of time.

Place, publisher, year, edition, pages
2018. no 8, article id 034
Keywords [en]
Magnetohydrodynamics, primordial magnetic fields, CMBR polarisation, physics of the early universe
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-160149DOI: 10.1088/1475-7516/2018/08/034ISI: 000442637500001OAI: oai:DiVA.org:su-160149DiVA, id: diva2:1248858
Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2018-09-17Bibliographically approved

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Brandenburg, Axel
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Department of AstronomyNordic Institute for Theoretical Physics (Nordita)
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