Abstract:
By explicit separation of the contribution of one, two,..., $s$ particles to the total potential
energy of $N$ particles, a large number of systems of integral equations are obtained for the
equilibrium distribution functions of simple liquids and gases, including as a special case
the Kirkwood–Salzburg and Mayer–MontrolI systems of equations. Differentiation of the
resulting equations with respect to the coordinate of any particle always leads to the BBGKY
system.