Both these estimations being consistent and far larger than the reaction time scale, the following results are valid in the context of diffusion-limited reactions but their significance cannot be assured in the reaction-limited case, which would require a dedicated and separate study.
Due to the complexity of the RTE, the diffusion approximation is often applied in the context of diffuse optical imaging, including diffuse optical tomography (DOT) and FDOT.
Stochastic reaction-diffusion models have been investigated in the context of Bicoid diffusion in a number of studies.
Testing methodologies for the qualification of materials is discussed in the context of hydrogen diffusion and solubility in each material.
For this reason, we study our measure in the context of information diffusion to asses how well the HT measure is suited to identify influential actors.
Here, the soot kinetics encompass acetylene-based rate expressions for nucleation and growth that were previously employed in the context of laminar diffusion flames.
We study our extended measure in the context of information diffusion because this measure is based on a model of actors who attract others to be active members in a community.
In the context of stationary diffusion equation we calculate explicitly the optimal microstructure for the Hashin Shtrikman energy bound in the case of two isotropic phases with prescribed ratio, in three dimensions.
Data for the interdiffusion of Al and Ti on the Al/Ti site of the intermetallic phase γ′ are also reported, and the values are rationalised in the context of the diffusion mechanism which is known to operate in that phase.
