Formulation of boundary conditions for the BBGKY hierarchy with allowance for local conservation laws

A new boundary condition for the Bogolyubov (BBGKY) hierarchy that takes into account correlations associated with local conservation laws is formulated. The explicit form of the boundary conditions is found for all reduced distribution functions. It is shown that in the simplest approximation of “binary collisions” this boundary condition leads to a kinetic equation for the single-particle distribution function in the form of the modified Enskog equation.