Abstract
A two-special dimension electronic system characterized by a plasma parameter Γ ⩽ 1 is analyzed; then, by using a rigorous non-equilibrium statistical mechanical theory, the evolution of distribution function is considered. A generalized Vlasov equation (GVE) is derived. Compared to the usual Vlasov equation, GVE presents an additional velocity-dependent correlation term. Taking as a starting point the GVE, the phenomenological approximation to two-particles function, ƒ 2(r 1r 2p 1p 2; t) = ƒ 1(r 1p 1;t)f 1(r 2p 2;t)g(r 1−r 2) , proposed by Singwi, Tosi, Landi and Sjolander is analyzed.
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