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The diffusion mass transport could be described by the modified Fick's I law, however, it was stated that on account of the high ion retention in all gels the one-dimensional random-walk equation may not be used for prediction of the mean diffusion distance (break-through time).
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Indeed, the mean diffusion length calculated for O2 generated in the bulk (ca. 157 nm) is one order of magnitude smaller than the average distance between contiguous vesicles (ca. 1860 nm), so it should only show high activity when generated close to the membrane where PPO is inserted (see the Supporting Information for calculation details).
Although a smaller bilayer thickness means a much shorter diffusion distance and quicker burning rate, there are more interfaces and it is more likely that the NiO layer and Al layer partially interdiffuse for a much smaller bilayer thickness before the electrical explosion test, which results in a lower energy output and reduction of the burning rate.
Lafon and Lee [57] studied the quantization of the corresponding Markov chain and graph, aiming to derive a computational approach for recovering the stable meta-states and showed that the optimal quantization with respect to the diffusion distance as in (9) is given by the centroids computed by the K-means quantization scheme with an Euclidean distance metric, in the diffusion domain.
In parallel, the mean distance between neighbouring perfused vessels was dramatically increased (655±181 μm) to values far greater than the oxygen diffusion distance.
In addition, rapid tumour growth can mean that tumour cells can grow such a distance away from blood vessels that they are beyond the diffusion distance for oxygen and can become hypoxic.
random diffusion distance.
The penetration distance is correlated with the heat diffusion distance.
The Mo2C nanoparticles shorten ion/electron diffusion distance.
The very coarse morphology of the sample would give the diffusion reaction a very long diffusion distance.
On the other hand, particle agglomeration is unfavorable for the diffusion of lithium ions due to the elongated diffusion distance.
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