Poission distribution

Taking into account the fact that the formation of fibrous networks is controlled by nucleation and growth [15-19], thenew metho d to b e intro duced is based on the famous Avrami equation [62], which was developed to describe the nucleation and growth of bulk crystals, taking into account the Poission distribution of crystal size [62]. It has the form... 

As a result of this, it is impossible to decide in the univariate experimental situation whether the compound Poisson or the contagious hypothesis underlying the negative binomial distribution is the more plausible approach, when the negative binomial gives an appreciably better fit than the Poission distribution, as it usually does. 

Using the Boltzmann distribution (2) to find the charge density p, and substituting that result into Poission s equation (1) yields the Poisson-Boltzmann equation... 

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