  Two distinct routes lead to the creation of multi--scale equilibrium
structures in dense degenerate plasmas, often met in astrophysical conditions.
By analyzing an e-p-i plasma consisting of degenerate electrons and positrons
with a small contamination of mobile classical ions, we show the creation of a
new macro scale $L_{\rm{macro}}$ (controlled by ion concentration). The
temperature and degeneracy enhancement effective inertia of bulk e-p components
also makes the effective skin depths larger (much larger) than the standard
skin depth. The emergence of these intermediate and macro scales lends immense
richness to the process of structure formation, and vastly increases the
channels for energy transformations. The possible role played by this mechanism
in explaining the existence of large-scale structures in astrophysical objects
with degenerate plasmas, is examined.
