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My hypothesis is that such motion can leads to MSD vs t and angular distributions of steps that appearas anomalous diffusion, even when the dwell time is exponentially distributed (not power-law-CTRW).
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Kinetic studies were carried out on tungsten silicide (WSix) chemical vapor deposition from WF6/Si2H6 in a hot-wall type tubular reactor, focusing on the axial distributions of step coverage and composition ratio.
Distributions of step lengths as well as waiting times follow exponential laws, suggesting a Brownian process.
I will assess whether distributions of step lengths and also times correspond to the Brownian or Lévy walk.
We propose a simple model based on the distributions of step force durations to interpret the experimental spectrum and its power law behavior.
In contrast to Gaussian or Poisson distributions of step lengths, in Lévy motion small steps are more often interspersed with longer steps, causing the variance of the distribution to diverge.
Frequency distributions of step length and turning angle differed among step categories, with traveling steps being longer and more linear, and cluster-to-cluster steps being short and having the highest diversity of turning angles.
Taking into account that prior to dilution, the population of microtubules has already reached a steady state distribution of steps, the average time to catastrophe after dilution can be calculated to be.
In the relaxor single crystals, the energy barrier of phase transformations distributed over a range of field values is represented by a normal distribution of step like transformations.
Statistical distribution of step heights, R, in this device without its exposure to NO2 (in helium) (b) and during a slow desorption of NO2 (c).
If the distribution of step lengths in a Lévy process is heavy-tailed, i.e., if the probability is not exponentially bounded, we call the process a Lévy flight.
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