## Diffusion in random velocity fields with applications to contaminant transport in groundwater

AbstractThe process of diffusion in a random velocity field is the mathematical object underlying currently used stochastic models of transport in…

## Turbulence scenarios in determinist chaos

Abstract   AuthorsA. Georgescu C. Vamoş N. SuciuKeywordsReferencesPDFsoon About this paperCite this paper as:JournalSt. Cerc. Mec. Apl. Publisher NameDOINot available…

## Balance equations for physical systems with corpuscular structure

AbstractThe usual method in nonequilibrium statistical mechanics allows the derivation of the balance equations only for the collision invariants (mass,…

## Critical parameters governing the mobility and fate of pesticides in soil/aquifer systems

Abstract   AuthorsH. Vereecken U. Jaekel C. Mouvet C. Moreau P. Burauel M. Dust D. J. Kim D. Jacques J.…

## Hydrodynamic equations for one-dimensional systems of inelastic particles

AbstractUsing a different method, the balance equations of mass, momentum, and kinetic energy are derived for an arbitrary one-dimensional system…

## Derivation of one-dimensional hydrodynamic model for stock price evolution

AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…

## Generalized random walk algorithm for the numerical modeling of complex diffusion processes

AbstractA generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a…

## Numerical investigations on ergodicity of solute transport in heterogeneous aquifers

AbstractDarcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields. Accurate…

## Evaluation of the first‐order approximations for transport in heterogeneous media

AbstractLongitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in velocity…

## On the self-averaging of dispersion for transport in quasi-periodic random media

AbstractIn this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in heterogeneous…