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Numerical analysis of Ostwald ripening in two-dimensional systems
V G Dubrovskii1, M A Kazansky, M V Nazarenko
1St.-Petersburg Academic University, Khlopina 8∕3, 194021 St.-Petersburg, Russia. dubrovskii@mail.ioffe.ru
The Journal of Chemical Physics
|March 10, 2011
Summary
This study examines Ostwald ripening using kinetic equations and numerical simulations. Fluctuations broaden size distributions in early stages, with Lifshitz-Slezov theory showing some resilience but imperfect correspondence, especially with diffusion-limited growth.
Area of Science:
- Materials Science
- Physical Chemistry
- Chemical Engineering
Background:
- Ostwald ripening is a key process in materials science, influencing microstructure evolution.
- Understanding size distribution dynamics is crucial for controlling material properties.
- Existing models often simplify or neglect fluctuation effects.
Purpose of the Study:
- To investigate Ostwald ripening theory using continuum second-order kinetic equations.
- To analyze the impact of fluctuation effects on island size distributions.
- To compare numerical results with the deterministic Lifshitz-Slezov theory.
Main Methods:
- Numerical simulations of 2D condensing systems with varying island growth laws.
- Application of different forms of kinetic equations, including those with fluctuation terms.
- Analysis of size distributions with and without fluctuation effects.
Main Results:
- Fluctuations significantly broaden size distributions during the early stages of Ostwald ripening, particularly in diffusion-limited growth.
- The Lifshitz-Slezov (LS) shape generally withstands fluctuations.
- Numerical results show imperfect correspondence with LS spectra at long times, especially under diffusion-induced growth and when fluctuations are present.
Conclusions:
- Fluctuation effects are significant in Ostwald ripening, impacting early-stage size distributions.
- While the LS theory provides a baseline, it requires refinement for accurate long-time predictions, especially in diffusion-limited regimes with fluctuations.
- This work highlights the importance of incorporating fluctuation dynamics for a comprehensive understanding of Ostwald ripening.
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