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The adiabatic inhomogeneities of the scalar curvature lead to a compressibleflow affecting the dynamics of the hydromagnetic nonlinearities. The influenceof the plasma on the evolution of a putative magnetic field is explored withthe aim of obtaining an effective description valid for sufficiently largescales. The bulk velocity of the plasma, computed in the framework of theLambdaCDM scenario, feeds back into the evolution of the magnetic power spectraleading to a (nonlocal) master equation valid in Fourier space and similar tothe ones discussed in the context of wave turbulence. Conversely, in physicalspace, the magnetic power spectra obey a Schroedinger-like equation whoseeffective 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.

Compressible hydromagnetic nonlinearities in the predecoupling plasma