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Evolution of distribution functions: Boltzmann and Smoluchowski equations.
The model adopts the lattice Boltzmann method (LBM) that describes transport phenomena by the evolution of distribution functions of moving pseudoparticles to numerically solve fluid flow and solute transport governed by both convection and diffusion.
Ion bombardment-induced atomic redistribution processes in the initially homogeneous multi-components and multilayered structures is analysed considering a relocation function, which defines the frequency probability of relocation between monolayers and kinetic equations which describe the evolution of distribution profiles of components.
An evolution of distribution of adsorbate islands over sizes is shown in Fig. 4 a c at u=3, u=4, and u=5, respectively.
Therefore, the evolution of distribution
Although our single sample does not allow us to discuss the evolution of distribution in S. leucomelaena, additional sampling could reveal whether its trans-Red Sea distribution is the result of over-water dispersal, movement between the Saudi Peninsula and Egypt, or movement across land-bridges during the last 500,000 years.
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The model consists of a coupled system of the Ginzburg Landau equations and the static or dynamic elasticity equations, and it describes evolution of distributions of austenite and different martensitic variants in terms of corresponding order parameters.
g The evolution of distributions in the view of protein molecules.
Via a novel population balance model framework, a multi-dimensional multi-component model for a continuous granulation process was developed, describing time evolutions of distributions with respect to granule size, liquid distribution and granule composition.
However, on examination of the evolution of genotype distribution and predominance over time, we were not able to discern any overall trends in serotype distribution within the region.
While several studies tracked the evolution of genotype distribution and predominance over time, we were not able to discern any overall trends in serotype distribution within the region.
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CEO of Professional Science Editing for Scientists @ prosciediting.com