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Detailed knowledge about equilibration processes is of interest for variousfields of physics, including heavy ion collision experiments and quantumquenched condensed matter systems. We study the approach to equilibrium at latetimes within two types of strongly coupled thermal systems in 3+1 dimensions:systems in the presence of (i) a non-zero charge density, or (ii) a magneticfield at vanishing charge density. Utilizing the gauge/gravity correspondence,we map the aforementioned problem to the computation of quasinormal frequenciesaround two particular classes of black branes within the Einstein-Maxwelltheory. We compute (i) the tensor and vector quasinormal modes ofReissner-Nordstr\"om black branes and (ii) the scalar, as well as tensorquasinormal modes of magnetic black branes. Some of these quasinormal modescorrespond to the late-time relaxation of the above systems after starting withinitial pressure anisotropy. We provide benchmarks which need to be matched atlate-times by all holographic thermalization codes with the appropriatesymmetries.

Quasinormal modes of magnetic and electric black branes versus far from equilibrium anisotropic fluids