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Correlations and Ostwald ripening
Abstract
This paper examines the effect of diffusive interactions, and the correlations they create between particles, on Ostwald ripening. The effect accounts for a persistent discrepancy between theory and experiment, in which the distribution of particle sizes has been more broad and flat than mean-field theory predicts. A new model system is proposed to study the problem, and a hierarchy of equations derived from it is expanded in powers of the square root of the volume fraction. The time devlopment of correlations is analyzed through an unusual perturbation theory. The resulting differential equations are solved numerically and compared with experiment.
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Citations
Cited by
Growth Kinetics of Nanocrystalline ZnO Particles from Colloidal Suspensions
Wong, E. M., Bonevich, J. E., & Searson, P. C. (1998) · The Journal of Physical Chemistry B · doi:10.1021/jp982397n · Cited by 351
Thermal Stability of Aluminum Alloys
Czerwinski, F. (2020) · Materials · doi:10.3390/ma13153441 · Cited by 291
Metadata
- Authors
- Marder, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1987-07-01
- Volume
- 36
- Issue
- 2
- Pages
- 858-874
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2092543657
- Cited by
- 195
- References
- 0
- FWCI
- 4.64
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Correlations and Ostwald ripening. https://app.cochat.ai/papers/10.1103/physreva.36.858
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- Marder, M. (1987). Correlations and Ostwald ripening. Physical Review A. https://doi.org/10.1103/physreva.36.858
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.