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Recent studies have revealed that the soot generated in an inverse diffusion flame (IDF) is not fully carbonized as it is in a normal diffusion flame.
In a normal diffusion process, the molecule movement is largely controlled by the collisions among molecules themselves, because the mean free path is much smaller than the pore size.
The diffusion process of chloride ions in the concrete matrix is not irreversible in case of inversion of the concentration gradient and is history independent, so it is a normal diffusion process (Nogueira and Leonel 2013).
The autocorrelation curves of each individual measured point are then fitted by a normal diffusion model, as described in [34].
A Lévy walk leads to anomalous diffusion, meaning that the mean squared displacement from the starting point increases faster than linearly with time t, while Brownian walks is a normal diffusion where the increase is linear.
We chose to fit the data to a normal diffusion model rather to an obstructed diffusion model because it is more robust and allows the fit of two distinct diffusive fluorescent populations [4].
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Recruitment is essential for maintaining a normal diffusion-to-perfusion (D/Q̇) ratio and achieving adequate oxygenation of end-capillary blood leaving the lung (7).
Figure 1 shows a comparison between normal diffusion and Knudsen diffusion.
First we describe an idealized scenario — a homogeneous viscous fluid of uniform depth with a particle undergoing passive normal diffusion — where the theory of Brownian motion affords the ability to rigorously specify particle size distributions to meet a prescribed, one-sided, diffusive passage time distribution.
A central assumption in describing normal diffusion is that the solute moves within a continuous hydrodynamic fluid, which is not the case in cells.
In the field of mathematical epidemiology, especially the super-diffusion case is of interest since it describes a more realistic spreading than normal diffusion on regular lattices.
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