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.
It is also shown that a lower substrate surface roughness results in more uniform step bunching with a lower distribution of step heights and consequently better quality of the grown graphene.
I carried out survival analysis to study the inverse cumulative distribution of step lengths.
This distribution of step lengths was compared with exponential, power and Weibull law [31].
In the first case, the probability distribution of step length is exponential whereas in the second case it is power-law.
Theoretical models of food searching behaviors predict that the distribution of step lengths and the distribution of the turning angles observed between steps should vary in relation to the density of food items.
Hence, the distribution of step sizes can be computed for each treatment using the respective normalized histograms and the probability distribution function (pdf).
Under this model, single-repeat mutations have a probability of p whereas multirepeat mutations (length of change ≥1 repeat) have a probability of 1 − p. For multirepeat mutations, the distribution of step size, | i − j|, is given by a truncated geometric distribution γ g, i, j).
