2013
DOI: 10.1103/physrevd.87.123001
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Evolution of helical cosmic magnetic fields as predicted by magnetohydrodynamic closure theory

Abstract: We extend our recent derivation of the time evolution equations for the energy content of magnetic fields and turbulent motions for incompressible, homogeneous, and isotropic turbulence to include the case of nonvanishing helicity. These equations are subsequently numerically integrated in order to predict the present day primordial magnetic field strength and correlation length, depending on its initial helicity and magnetic energy density. We find that all prior analytic predictions for helical magnetic fiel… Show more

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Cited by 44 publications
(62 citation statements)
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“…The temperature dependences of B p and λ B of this analytic estimate coincide with the numerical results in Ref. [54]. In the case (ii), the strength and correlation length of magnetic field at T > T TS are given by…”
Section: B Helicity Conservationsupporting
confidence: 86%
“…The temperature dependences of B p and λ B of this analytic estimate coincide with the numerical results in Ref. [54]. In the case (ii), the strength and correlation length of magnetic field at T > T TS are given by…”
Section: B Helicity Conservationsupporting
confidence: 86%
“…At later times in the system's evolution, this initial anomaly induced helicity, h in will then lead to the realization of maximally helical fields -since magnetic fields with initial fractional helicity become maximally helical due to standard MHD turbulence [75,76]. We thus conclude that the chiral MHD turbulence, when anomaly effects are small compared to the velocity and magnetic field terms, will tend to create maximally helical fields from non-helical fields.…”
Section: Inverse Cascade and The Role Of Helicitymentioning
confidence: 84%
“…Lower bounds, B 10 −17 G, have been obtained by several authors using gamma-ray-induced electromagnetic cascades in the intergalactic space [19][20][21][22][23][24][25][26]. These lower bounds are controversial because of the claims [27][28][29][30][31] that the development of the cascade is suppressed by plasma instabilities that arise from interactions with the intergalactic medium. On the other hand, recent direct observations [32] and PIC simulations [33] of cascades suggest that plasma instabilities are not operative and that the orig-inal bounds hold.…”
Section: Introductionmentioning
confidence: 99%
“…Since magnetic helicity affects the dynamical evolution of magnetic fields, an indirect way to measure magnetic helicity is to measure the magnetic field power spectrum and compare it with the evolution seen in magnetohydrodynamical (MHD) simulations [34][35][36]. The magnetic helicity, H, being given by a volume integral is a global quantity, and hence is not directly measurable unless additional assumptions are invoked.…”
Section: Introductionmentioning
confidence: 99%