Compressible hydromagnetic nonlinearities in the predecoupling plasma

Abstract

The adiabatic inhomogeneities of the scalar curvature lead to a compressible flow affecting the dynamics of the hydromagnetic nonlinearities. The influence of the plasma on the evolution of a putative magnetic field is explored with the aim of obtaining an effective description valid for sufficiently large scales. The bulk velocity of the plasma, computed in the framework of the LambdaCDM scenario, feeds back into the evolution of the magnetic power spectra leading to a (nonlocal) master equation valid in Fourier space and similar to the ones discussed in the context of wave turbulence. Conversely, in physical space, the magnetic power spectra obey a Schroedinger-like equation whose effective potential depends on the large-scale curvature perturbations. Explicit solutions are presented both in physical space and in Fourier space. It is argued that curvature inhomogeneities, compatible with the WMAP 7yr data, shift to lower wavenumbers the magnetic diffusivity scale.

29 pages

References in corpus (17)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Are There Cosmic Microwave Background Anomalies?
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Foreground Emission
• Cosmology with inhomogeneous magnetic fields
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Planets and Celestial Calibration Sources
• Tight coupling expansion and fully inhomogeneous magnetic fields
• Hints of Isocurvature Perturbations in the Cosmic Microwave Background?
• Detecting relic gravitational waves in the CMB: Optimal parameters and their constraints
• Semi-analytical approach to magnetized temperature autocorrelations
• Transfer matrices for magnetized CMB anisotropies
• Detecting Relic Gravitational Waves in the CMB: Comparison of Planck and Ground-based Experiments
• Dark energy, integrated Sachs-Wolfe effect and large-scale magnetic fields
• Reynolds numbers in the early Universe
• Ohmic currents and pre-decoupling magnetism
• Growth rate of matter perturbations as a probe of large-scale magnetism

Cited by in corpus (8)

• Anomalous Magnetohydrodynamics
• Fluctuations of inflationary magnetogenesis
• Evolution of primordial magnetic fields in mean-field approximation
• Probing large-scale magnetism with the Cosmic Microwave Background
• Reynolds numbers in the early Universe
• Superhorizon magnetic fields
• The symmetries of inflationary magnetogenesis and the plasma initial conditions
• Smooth magnetogenesis