I find myself doing research on self-assembly of single stranded tiles-based DNA nanotubes that use origami as a seed and I am observing -using FRET measurements via qPCR that not only that there are low nucleation seed concentrations in which no growth is appreciable -which suggests that there might be a critical concentration of seeds that allows to trigger effectively the phase transition- but also that above that concentration changes in the same order of magnitude in the number of seeds result in changes on the observed growth (in bulk) that go (seemingly -still haven't fitted parameters) beyond a linear trend.
Has this behaviour of these systems -or similar- been characterized before?
Ding, Feng, Kim Bolton, and Arne Rosen. "Nucleation and growth of single-walled carbon nanotubes: A molecular dynamics study." The Journal of Physical Chemistry B 108, no. 45 (2004): 17369-17377.
Ismael Mullor-Ruiz
Take a look at the Smoluchowski equation. For example:
https://cbp.tnw.utwente.nl/PolymeerDictaat/node32.html
Some background in this webinar (registration required):
The importance of the measurement of diffusion in 2-phase systems
https://www.malvernpanalytical.com/en/learn/events-and-training/webinars/W150813DiffusionColloidalSuspension.html
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