Vol 120, No 3-4 (2024)

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the Ne-electron systems in terms of the electron density nσe (r) needed to obtain the ground-state energy Ee0 in Density Functional theory scenarios, we approach the exchange-correlation energy Exc [nσe(r)] by considering the interelectronic position corrections Δr↑↑,↑↓ x = |δr↑↑ − δr↑↓| and Δr eiej6≠i c = λc |r − r′|−(Ne−1)−1 corresponding to the spin and the Coulomb correlation effects, respectively, through the electron-electron potential energy. Exploiting such corrections, we get approximate expressions for the exchange Ex [nσe] and the correlation Ec [nσe] functional energies which could be interpreted in terms of magnetic and electric dipole potential energies associated with the charge density nσe (r) described by inversesquare potential behaviors. Based on these arguments, we expect that such obtained exchange-correlation functional energy could be considered in the Local Density Approximation functional as an extension to frame such interelectronic effects.

A simple and popular Bridgman’s formula predicts a linear correlation between the thermal conductivity coefficient and the sound velocity of dense liquids. Unfortunately, it cannot be applied to strongly coupled plasma-related fluids, because the sound velocity can greatly increase as screening weakens. We propose a modification of the Bridgman formula by correlating the thermal conductivity coefficient with the transverse (shear) sound velocity. This approach is demonstrated to work reasonably well in screened Coulomb (Yukawa) fluids and can be useful in the context of complex (dusty) plasmas.