  We study the impact of plasma correlation effects on nonresonant
thermonuclear reactions for various stellar objects, namely in the liquid
envelopes of neutron stars, and the interiors of white dwarfs, low-mass stars,
and substellar objects. We examine in particular the effect of electron
screening on the enhancement of thermonuclear reactions in dense plasmas within
and beyond the linear mixing rule approximation as well as the corrections due
to quantum effects at high density. In addition, we examine some recent
unconventional (Yukawa-potential and "quantum-tail") theoretical results on
stellar thermonuclear fusions and show that these scenarios do not apply to
stellar conditions.
