  In this paper new multi-variable deformed Fokker-Planck (FP) equations are
presented. These deformed FP equations are associated with the
Ruijsenaars-Schneider-van Diejen (RSvD) type systems in the same way that the
usual one variable FP equation is associated with the one particle
Schr\"odinger equation. As the RSvD systems are the "discrete" counterparts of
the celebrated exactly solvable many-body Calogero-Sutherland-Moser systems,
the deformed FP equations presented here can be considered as "discrete"
deformations of the ordinary multi-variable FP equations.
