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Nucleation theory beyond the deterministic limit. I. The nucleation stage
V G Dubrovskii1, M V Nazarenko
1St. Petersburg Academic University, Khlopina 8/3, 194021 St. Petersburg, Russia. dubrovskii@mail.ioffe.ru
The Journal of Chemical Physics
|March 25, 2010
Summary
This study advances nucleation theory using a continuous kinetic equation. It reveals that fluctuation effects are negligible during nucleation, with size distributions depending on material influx.
Area of Science:
- Physical Chemistry
- Thermodynamics
- Materials Science
Background:
- Classical nucleation theory often simplifies embryo size distribution.
- The deterministic limit neglects crucial second-order size derivatives in kinetic equations.
- Understanding nucleation dynamics is vital for condensation processes.
Purpose of the Study:
- To develop a more accurate theory of nucleation and condensation.
- To analyze the size distribution of supercritical embryos beyond the deterministic limit.
- To investigate the role of fluctuations and material influx in nucleation.
Main Methods:
- Utilized a continuous Fokker-Plank type kinetic equation.
- Analyzed the nucleation stage by considering the second derivative with respect to size.
- Employed Green function convolution to model size spectrum evolution.
Main Results:
- Demonstrated that size spectra result from the convolution of initial distributions with a spreading Gaussian-like Green function.
- Showed that fluctuation-induced effects are negligible at the nucleation stage.
- Illustrated the crossover between triangular and double exponential distributions based on material influx.
Conclusions:
- The developed kinetic model provides a more comprehensive description of nucleation.
- Nonlinear boundary conditions significantly influence spectrum broadening more than fluctuations.
- Material influx is a key factor determining the shape of size distributions during nucleation.
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