How do i plot a graph of hydrodynamic distribution function vs hydrodynamic radius? As i have read from the literature there are two ways. Either do a cumulant analysis or do a Laplace inversion. If suppose i do a cumulant analysis, i get mean size, polydispersity and skewness. So i have the x axis of the graph ( Hydrodynamic radius) how do i find the y axis(hydrodynamic radius distribution) from this cumulant fitted data?
Thanks for the help and time in advance.
A cumulant analysis gives you the moments of the distribution. So you need to 1) find the equation for the distribution in terms of the moments (mean, variance, skewness...), 2) Plug the moments that your analysis gives into the equation and 3) Calculate the distribution at an appropriate range of radii.
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