E. Dunlap et Djw. Geldart, NONLOCAL EXCHANGE CONTRIBUTION TO THE FREE-ENERGY OF INHOMOGENEOUS MANY-FERMION SYSTEMS .1. FORMULATION OF THE GRADIENT EXPANSION, Canadian journal of physics, 72(1-2), 1994, pp. 1-6
Nonlocal exchange contributions to the free energy of a weakly inhomog
eneous many-fermion system at finite temperature are obtained to first
order in the interparticle interaction. Explicit representations are
given for the second-order gradient coefficient B(x)(n(r); T). These r
esults apply for arbitrary velocity-independent interparticle interact
ion and arbitrary temperature.