The mean value of a density of a ''cloud of points'' described by a ge
neralized Liouville equation associated with a convection dispersion e
quation governing adsorbing solute transport yields a joint concentrat
ion probability density. The general technique can be applied for eith
er linear or nonlinear adsorption; here the application is restricted
to linear adsorption in one-dimensional transport. The equation genera
ted for the joint concentration probability density is in the general
form of a Fokker-Planck equation, but with a suitable coordinate trans
formation, it is possible to represent it as a diffusion equation with
variable coefficients.