Nucleation time lag at nano-sizes

V. A. Shneidman; E. V. Goldstein

doi:10.1016/j.jnoncrysol.2005.03.039

Nucleation time lag at nano-sizes

V. A. Shneidman, E. V. Goldstein

Physics

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14 Scopus citations

Abstract

A rapidly convergent exact expression for the time lag (also, 'induction time') of transient nucleation obtained by Shneidman and Weinberg [J. Chem. Phys. 97 (1992) 3629] is used to evaluate the lag for clusters with up to 10⁸ monomers. Asymptotic approximations to the exact expression are further advanced to provide explicit elementary expressions for the time lag in the Turnbull-Fisher (TF) nucleation model in various domains of parameters. The difference between the TF time lag and the one of Zeldovich-Frenkel nucleation equation is examined in detail. Transient nucleation flux and the number of nuclei are also discussed, and analytical results appear to be in very good agreement with numerical solutions of the TF equations at large sizes, as reported by Granasy and James [J. Chem. Phys. 113 (2000) 9810].

Original language	English (US)
Pages (from-to)	1512-1521
Number of pages	10
Journal	Journal of Non-Crystalline Solids
Volume	351
Issue number	18
DOIs	https://doi.org/10.1016/j.jnoncrysol.2005.03.039
State	Published - Jun 15 2005

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Condensed Matter Physics
Materials Chemistry

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10.1016/j.jnoncrysol.2005.03.039

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abstract = "A rapidly convergent exact expression for the time lag (also, 'induction time') of transient nucleation obtained by Shneidman and Weinberg [J. Chem. Phys. 97 (1992) 3629] is used to evaluate the lag for clusters with up to 108 monomers. Asymptotic approximations to the exact expression are further advanced to provide explicit elementary expressions for the time lag in the Turnbull-Fisher (TF) nucleation model in various domains of parameters. The difference between the TF time lag and the one of Zeldovich-Frenkel nucleation equation is examined in detail. Transient nucleation flux and the number of nuclei are also discussed, and analytical results appear to be in very good agreement with numerical solutions of the TF equations at large sizes, as reported by Granasy and James [J. Chem. Phys. 113 (2000) 9810].",

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AU - Goldstein, E. V.

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AB - A rapidly convergent exact expression for the time lag (also, 'induction time') of transient nucleation obtained by Shneidman and Weinberg [J. Chem. Phys. 97 (1992) 3629] is used to evaluate the lag for clusters with up to 108 monomers. Asymptotic approximations to the exact expression are further advanced to provide explicit elementary expressions for the time lag in the Turnbull-Fisher (TF) nucleation model in various domains of parameters. The difference between the TF time lag and the one of Zeldovich-Frenkel nucleation equation is examined in detail. Transient nucleation flux and the number of nuclei are also discussed, and analytical results appear to be in very good agreement with numerical solutions of the TF equations at large sizes, as reported by Granasy and James [J. Chem. Phys. 113 (2000) 9810].

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Nucleation time lag at nano-sizes

Abstract

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