FEYNMAN-KAC EQUATION FOR CONVECTION-DISPERSION WITH MOBILE AND IMMOBILE WALKERS

Some experiments for determining transport properties are based on distributions data of paths integrals of particles undergoing displacement. Unfortunately occurrence of abnormally long immobile periods renders the celebrated Feynman-Kac equation inappropriate to rule the joint density of positions and path integrals of walkers. Nevertheless, a natural partition of the distribution of particles (mobile and immobile) may then be reunified by a fractional integral operator. An adequate Feynman-Kac type's equation follows from mass conservation principle.