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A distribution kinetics model of self-assembly: Effects of coalescence and solvent evaporation
, B.J. McCoy
Published in
2006
Volume: 286
   
Issue: 1
Pages: 131 - 136
Abstract
Self-assembly from a metastable state often occurs by nucleation accompanied by nanoparticle growth and eventually by Ostwald coarsening. By developing a population balance model for growth and coarsening, we here determine the dynamics of self-assembled cluster size distributions (CSDs) in two or three dimensions. The governing equations are solved numerically and the asymptotic coarsening stage reveals a power-law increase in average particle mass as the CSD evolves to a (minimum) polydispersity index of unity for both 2-D and 3-D phase transitions. By incorporating solvent evaporation to simulate drying-mediated self-assembly of nanoparticles, the model yields a temporal power law relationship with exponent 1/4 for the average 2-D domain radius, in agreement with experimentally observed behavior. The power law relationships can also be obtained by varying the coalescence rate and the power on mass in rate coefficient expressions. © 2005 Elsevier B.V. All rights reserved.
About the journal
JournalJournal of Crystal Growth
ISSN00220248