Inhomogeneous electron gas at nonzero temperatures: Exchange effects

Abstract

The exchange energy, exchange potential, and the exchange contribution to the interaction function are evaluated for all nonzero temperatures. These results are the finite temperature versions of the ${\ensuremath{\rho}}^{\frac{1}{3}}$-theory of Kohn-Sham. The applications of the results reported here are indicated. The paramagnetic susceptibility of an interacting electron gas as a function of temperature exhibits an interesting peak structure.