Simple classical mapping of the spin-polarized quantum electron gas: Distribution functions and local-field corrections

We use the now well known spin unpolarized exchange-correlation energy E-xc of the uniform electron gas as the basic "many-body" input to determine th e temperature T-q of a classical Coulomb fluid having the same correlation energy as the quantum system. It is shown that the spin-polarized pair dist ribution functions (SPDFs) of the classical fluid at T-q, obtained using th e hypernetted chain equation, are in excellent agreement with those of the T = 0 quantum fluid obtained by quantum Monte Carlo (QMC) simulations. Thes e methods are computationally simple and easily applied to problems which a re currently beyond QMC simulations. Results are presented for the SPDFs an d the local-field corrections to the response functions of the electron flu id at T = 0 and finite T.