## Persistent memory of diffusing particles

AbstractThe variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory…

AbstractThe variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory…

AbstractWhenever one uses translation invariant mean Green’s functions to describe the behavior in the mean and to estimate dispersion coefficients for…

AbstractThe Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at…

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…

AbstractSolute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In…

AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…

AbstractConcentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations…

AbstractWe identify sufficient conditions under which evolution equations for probability density functions (PDF) of random concentrations are equivalent to Fokker–Planck…

AbstractIn this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters.…