A. Compte et J. Camacho, LEVY STATISTICS IN TAYLOR DISPERSION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 5445-5449
The longitudinal dispersion for a fractal time random walker being dra
gged by a solvent flowing through a tube is studied by means of the La
ngevin and Fokker-Planck formalisms. One observes that for asymptotic
long times the dispersion is superdiffusive despite the fact that in a
resting background the characteristic diffusion regime is subdiffusiv
e. The resulting behavior is also at variance with the standard diffus
ive behavior obtained in Taylor dispersion for a Brownian walker.