His research focuses on mining and modeling large social and information networks, their evolution, and diffusion of information and influence over them.
It has been stated that the rate of the chlorine evolution on open circuit is determined by the parameters of the rate equation of the chlorine evolution and the diffusion of atomic chlorine out of the electrode.
Using nanoreactors with zeptoliter volumes, we observe the evolution, diffusion, and combination of the products of confined reactions with nanometer resolution in real time.
This level-set based variational approach yields a computational system of coupled geometric evolution and diffusion partial differential equations.
Regardless of the possible implications of these observations, the evolution of diffusion mechanisms and channels is not as gradual - or linear - as could be assumed.
The model self-consistently accounts for the thermodynamics and kinetics of the evolution of film thickness, diffusion of all components, oxidation reaction rates and the effects of stresses on these.
Since the seminal work by Derek de Solla Price on the distribution of citations received by scientific articles [6, 7], citation networks have extensively been studied to shed light on the mechanisms underpinning the evolution, diffusion, recombination, and sharing of knowledge over time [9, 10].
Next, we study numerically the evolution of a diffusion front and the effective thermal conductivity of composites consisting of multiple inclusions and compare the results with predictions based on the differential effective medium approach.
The evolution of diffusion values under CRT are in line with the results published by Sun et al. The conflicting reports of decreasing diffusion values as published by de Vries et al. and Dzik-Jurasz et al. could not be confirmed by the present study.
Figure 5 presents the evolution of the diffusion coefficient function and the flux function given by Equations (10) and (17), respectively.
