Time-Reversed Motion in Kinetic Theory

A set of reversible equations for $F_1$, the first distribution function and $g$, the correlation function, are derived for the weak force case. The "forward motion," i.e., development in time from uncorrelated initial conditions, and the corresponding reverse motion are examined. In the "forward motion" the equation for $F_1$ evolves into the Fokker-Planck equation while in the corresponding reverse motion $F_1$ is described by an anti-Fokker-Planck equation.