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Nuclear matter properties based on a relativistic approach suitable for thedescription of multi-component systems are calculated. We use a set of nuclearrelativistic mean-field models that satisfy acceptable nuclear matterproperties and neutron star observations. The effects of the density dependenceof the symmetry energy and of the Landau quantization due to the presence of astrong external magnetic field are discussed. Properties such as the protonfraction, the Landau mass, Landau parameters and entrainment matrix, theadiabatic index and speed of sound are calculated for cold $\beta$-equilibriummatter. A large dispersion on the calculated properties is obtained at two tothree times saturation density $\rho_0 $. The proton Landau mass can be as lowas one third of the vacuum nucleon mass at 2-3$~\rho_0 $. Similar effects areobtained for the Landau parameters, in particular, the ones involving protons,where the relative dispersion of $F^0_{pp}$ and $F^1_{pp}$ is as high as 30\%to 50\% at 2-3$~\rho_0 $. These parameters are particularly sensitive to thesymmetry energy. The effect of the magnetic field on the nuclear properties issmall for fields as high as 10$^{18}$G except for a small range of densitiesjust above the crust-core transition. Tables with the EoS, and the parameters,are provided in the Supplementary Material section.

Landau parameters and entrainment matrix of cold stellar matter: effect of the symmetry energy and strong magnetic fields