LONG-RANGE CORRELATIONS IN DEGENERATE MULTICOMPONENT SYSTEMS OF CHARGED FERMIONS

The partial structure factors and the pair correlation functions in a degenerate multicomponent system of charged fermions are considered. The long-range behavior of the particle density correlations are specifically analyzed by extending to multicomponent fermionic systems the known properties of the degenerate electron gas (jellium), particularly the long-wavelength limit of the first-moment sum (f-sum). By assuming that this limit is dominated by collective modes, namely, plasmons and phonons, explicit expressions for the leader terms in the correlations are obtained. Based on this dominant asymptotic behavior, we propose effective pair potentials that allow us to incorporate the main quantum effects into a pseudoclassical description of the multicomponent plasma.