On inverse Cascades and Primordial Magnetic Fields

P. Olesen

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On inverse Cascades and Primordial Magnetic Fields

P. Olesen

Astrophysics · Submitted 21 Oct 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We consider primordial spectra with simple power behaviours and show that in the Navier-Stokes and magnetohydrodynamics equations without forcing, there exists systems in three dimensions with a subsequent inverse cascade, transferring energy from small to large spatial scales.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.88 · compares with prior results 0.06 · mentions code or data availability 0.01.

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We consider primordial spectra with simple power behaviours and show that in the Navier-Stokes and magnetohydrodynamics equations without forcing, there exists systems in three dimensions with a subsequent inverse cascade, transferring energy from small to large spatial scales. This can have consequences in astrophysics for the evolution of density fluctuations, for primordial magnetic fields, and for the effect of diffusion. In general, if the initial spectrum is k^{alpha}, then in the ``inertial'' range, for alpha >-3 there is an inverse cascade, whereas for alpha<-3 there is a forward cascade.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider primordial spectra with simple power behaviours and show that in the Navier-Stokes and magnetohydrodynamics equations without forcing, there exists systems in three dimensions with a subsequent inverse cascade, transferring energy from small to large spatial scales.	result 0.65	0.89	0.75	asserted 1.00
s1	This can have consequences in astrophysics for the evolution of density fluctuations, for primordial magnetic fields, and for the effect of diffusion.	interpretation 1.00	0.19	0.08	hedged possibility 0.97
s2	In general, if the initial spectrum is k^{alpha}, then in the ``inertial'' range, for alpha >-3 there is an inverse cascade, whereas for alpha<-3 there is a forward cascade.	result 1.00	0.75	0.65	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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arXiv listing abstract v2

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The paper

Original abstract

We consider primordial spectra with simple power behaviours and show that in the Navier-Stokes and magnetohydrodynamics equations without forcing, there exists systems in three dimensions with a subsequent inverse cascade, transferring energy from small to large spatial scales. This can have consequences in astrophysics for the evolution of density fluctuations, for primordial magnetic fields, and for the effect of diffusion. In general, if the initial spectrum is k^{alpha}, then in the ``inertial'' range, for alpha >-3 there is an inverse cascade, whereas for alpha<-3 there is a forward cascade.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
astro-ph 1997-02 conditional novelty 7.0 of 10

A right-handed electron asymmetry in the early universe drives an anomalous instability that generates hypercharge magnetic fields of order 10^22 gauss by the electroweak scale.
Generation of gravitational waves from freely decaying turbulence
astro-ph.CO 2022-05 conditional novelty 6.0 of 10

A positive-definite model of the turbulent velocity correlation function, validated against hydrodynamic simulations, yields a closed-form gravitational-wave spectrum from freely decaying vortical turbulence.
Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
hep-ph 2019-08 conditional novelty 6.0 of 10

A nonzero primordial vorticity seeds a hypermagnetic field from zero in the symmetric phase; the chiral magnetic effect then amplifies it and converts lepton into baryon asymmetry.

How the literature uses it

8 arXiv papers cite this in 12 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 9 sentences without a confident label

Uses its data or values 1 paper

For example, $ξ=1/2$ was derived in some of MHD simulation results [ref] and $ξ=2/3$ was the case when the magnetic energy density is scale free [ref] .

Cosmological Symmetry Breaking and Generation of Electromagnetic Field · Generation of magnetic field helicity from pion strings · 0.89

Cites it as background 2 papers

In an alternative approach by [ref] , it has been argued that the slope of the initial energy spectrum determines the temporal evolution of the spectrum.

Scaling of the Hosking integral in decaying magnetically-dominated turbulence · Introduction · 0.82
For related approaches see [ref] .

Axions and Cosmic Magnetic Fields · Introduction · 0.98

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