AI Article Synopsis
- The paper investigates how nonlinear growth rates of particles in supersaturated solutions or supercooled melts affect the size distribution of crystals formed in these environments.
- An analytical solution of an integro-differential model is presented, focusing on transient nucleation and the evolution of solid particles in metastable liquids.
- The authors compare their findings on crystal growth rates with experimental data, contributing to a broader theme of understanding heterogeneous materials and their non-stable internal structures.
Article Abstract
In this paper, we show that the nonlinear growth rate of particles in a supersaturated solution or supercooled melt, as well as the rate of removal of crystals from the metastable liquid of a crystallizer, significantly change the size-distribution function of crystals. Taking these rates into account, we present a complete analytical solution of the integro-differential model describing the transient nucleation of solid particles and their evolution in a metastable liquid. The distribution function and metastability degree (supersaturation or supercooling) are found by means of the separation of variables and saddle-point methods. The nonlinear growth rates of crystals in supersaturated solutions and supercooled melts (single-component and binary) are summarized and compared with experimental data. This article is part of the theme issue 'Heterogeneous materials: metastable and non-ergodic internal structures'.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6460064 | PMC |
| http://dx.doi.org/10.1098/rsta.2018.0210 | DOI Listing |
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