Abstract
The effects of $\ensuremath{\delta}$ mesons on the dynamical instabilities of cold and warm nuclear and stellar matter at subsaturation densities are studied in the framework of relativistic mean-field hadron models $(\mathrm{NL}3$, $\mathrm{NL}\ensuremath{\rho}$, and $\mathrm{NL}\ensuremath{\rho}\ensuremath{\delta})$ with the inclusion of the electromagnetic field. The distillation effect and the spinodals for all the models considered are discussed. The crust-core transition density and pressure are obtained as a function of temperature for $\ensuremath{\beta}$-equilibrium matter with and without neutrino trapping. An estimation of the size of the clusters formed in the nonhomogeneous phase and the corresponding growth rates are made. It is shown that cluster sizes increase with temperature. The effects of the $\ensuremath{\delta}$ meson on the instability region are larger for low temperatures, very asymmetric matter, and densities close to the spinodal surface. It increases the distillation effect above $~0.4{\ensuremath{\rho}}_{0}$ and has the opposite effect below that density.
Published Version
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