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The equation for interface advection is replaced by a continuum advective-diffusion equation, with diffusion driven by C's chemical potential gradients.
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The natural extension of this work would be to develop a continuum advection-diffusion model.
We interpret our experimental results using the Fisher-Kolmogorov equation [ 26– 28], which is a continuum reaction-diffusion model describing the spatiotemporal evolution of cell density in a population of cells where cell migration is driven by random (undirected) cell motility and cell proliferation is driven by carrying capacity limited logistic growth.
At the particle level, diffusion and reaction are described by a continuum model.
However, a few theoretical studies have independently rationalized such findings by considering the transport of particles through a channel using a continuum diffusion model based on the Smoluchowski equation, 15 discrete stochastic models 16, 17 or a generalized macroscopic Fick's diffusion law, 18 all demonstrating that an attractive potential in the channel may enhance the particle flux.
Second, the discrete network is approximated by a continuum.
The discrete network is then approximated by a continuum.
The vacancy profile through the thickness of a thick film is then obtained by solving continuum diffusion equations using the surface vacancy concentration as a moving boundary condition.
In this work, we have used a continuum model based on surface-diffusion to investigate the temporal evolution of pits excavated in a Si 001) substrate.
In this study, we used GNSS data to investigate the advective diffusion of a volcanic plume from an eruptive event of Sakurajima volcano on July 24 , 2012
The continuum model overcomes this obstacle by the stability analysis of a continuum system.
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