On Sun, Sep 11, 2016 at 04:09:33PM +0300, Daniil Bratashov wrote:
> We're now preparing an article about MRI contrasting by magnetite
> nanoparticles and I'm puzzled, what kind of grain statistic can be used
> to describe non-uniformity of lateral particle distribution. It can be
> distribution of interparticle distances, some statistical parameters
> from the distribution like minimal interparticle distance, average
> particles cluster size, some thermodynamical parameters. For example,
> with highly charged particles its distributed highly uniformly, then we
> have small aggregates forming, then it's all one large aggregate. Is
> there any parameters that reliably describe such processes, and which
> literature can one recommend for such analysis?
There are several, you can see a few for instance here: DOI:
10.1103/PhysRevE.92.062401, but for each method it is easy to construct
counterexamples where it does not work. Reducing the spatial
distribution to a single number is hard. So I would try to choose
(a) something that has physical meaning, i.e. it appears naturally in
other formulae you use
(b) something that correlates well with other quantities
Regards,
Yeti
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