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 the 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 distribution functions (SPDFs) of the classical fluid at T-q, obtained using the hypernetted chain equation, are in excellent agreement with those of the T = 0 quantum fluid obtained by quantum Monte Carlo (QMC) simulations. These methods are computationally simple and easily applied to problems which are currently beyond QMC simulations. Results are presented for the SPDFs and the local-field corrections to the response functions of the electron fluid at T = 0 and finite T.