BBGKY hierarchy
The BBGKY hierarchy consists of distribution functions, named after Bogolyubov, Born, Green, Kirkwood and Yvon. The BBGKY hierarchy is a system of equations for the dynamical behavior of fluids, with the important extension to dense liquids. The equations are exact, and relate the phase space probability density for n+1 particles to the phase space probability density for n particles . In Ref. 1 it is shown that the H-theorem follows from the Kirkwood superposition approximation.