A micro-level agent-based model of innovation diffusion was developed that explicitly combines (a) an individual …’s social network. The micro-model was used to simulate macro-level diffusion patterns emerging from different configurations of …

. The correlation functions for the intraband yield sound velocity (proportional to the mean atomic velocity) and diffusion … sound disappears below the freezing point. The Stokes’ law between diffusion and viscosity holds at higher temperatures, but …

Diffusion in heterogeneous media (i.e., layers with discontinuous values of the diffusivity parameter) is found in … Brownian particles run preferentially along the direction of decreasing diffusivity. An uphill diffusion effect is found when …

equation is reformulated in order to account correctly for the chemical process. The expression for the diffusion coefficient … a model of reactive hard spheres. The rate coefficients in the reaction–diffusion equation are modified due to … nonequilibrium effect for the diffusion, though not so drastic, is also very significant. …

diffusion coefficient are found to have a non-monotonic dependence on the quenched noise strength. These non-trivial results are …

diffusion equation with a stochastic porosity. To perform an explicit analysis we model the porosity by a telegraph process … the original diffusion equation by an additional time-diffusive term (with time-delay in the full general situation). …

A binary system in which the diffusion flux has a nonvanishing relaxation time is considered. We study the spectra of … fluctuations of the solute density and the solute diffusion flux. The role of the diffusion flux is analyzed in two descriptions …. First, the shortest observable time interval is shorter than the flux relaxation time, and the diffusion flux behaves as …

uses Brownian motion simulations for exploring the effects of the interface in the diffusion transport of passive particles …. The results revealed that the diffusion transport is asymmetric in the sense that particles migrate faster in the porous … decreases. Macroscopic model using volume averaging methods showed that the asymmetrical diffusion effect is induced by sharp …

We discuss diffusion properties of a dynamical system, which is characterised by long-tail distributions and finite … rises with time faster than linearly: the diffusion is anomalously enhanced. On the other hand, a process which follows from … variance which means accelerated diffusion. …

. For the elementary diffusion processes, we use energy barriers determined by quenched molecular dynamics simulations where … conditions. The island number density and the adatom density at small coverages display a power-law dependence on the diffusion …