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Title: Universality in diffusion-controlled nucleation and growth

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0241976 · OSTI ID:2523622
ORCiD logo [1]
  1. Brookhaven National Laboratory (BNL), Upton, NY (United States). Center for Functional Nanomaterials (CFN)

Nucleation and growth are studied in a system that undergoes diffusion-controlled condensation under gradual changes in parameters, such as cooling. Here, it is demonstrated that when the Gibbs–Thompson effect becomes negligible, the system falls into a universal regime. i.e., the final droplet size distribution remains invariant under certain rescaling of system parameters. An approximate yet very accurate analytic form is obtained for the final droplet size distribution in this regime.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
SC0012704
OSTI ID:
2523622
Report Number(s):
BNL--227604-2025-JAAM
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 3 Vol. 162; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Kinetische Behandlung der Keimbildung in übersättigten Dämpfen journal January 1935
Theorie der Alterung von Niederschlägen durch Umlösen (Ostwald‐Reifung) journal September 1961
Review: Nucleation in solutions revisited journal July 2003
The kinetics of precipitation from supersaturated solid solutions journal April 1961
Prenucleation clusters and non-classical nucleation journal December 2011
Mechanisms of Nucleation and Growth of Nanoparticles in Solution journal July 2014
Evolution of an Ensemble of Nanoparticles in a Colloidal Solution:  Theoretical Study journal December 2001
Prediction of absolute crystal-nucleation rate in hard-sphere colloids journal February 2001
Nonclassical nucleation and growth of inorganic nanoparticles journal June 2016
Thermodynamically driven assemblies and liquid–liquid phase separations in biology journal January 2019
Rate of Nucleation in Condensed Systems journal January 1949
Kinetic nucleation theory: A new expression for the rate of homogeneous nucleation from an ideal supersaturated vapor journal July 1990
A first-passage algorithm for the hydrodynamic friction and diffusion-limited reaction rate of macromolecules journal March 1997

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