Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime

Danan Fan; S. P. Chen; Long Qing Chen; P. W. Voorhees

doi:10.1016/S1359-6454(01)00393-7

Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime

Danan Fan
, S. P. Chen
, Long Qing Chen
, P. W. Voorhees

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

120 Scopus citations

Abstract

The microstructural evolution and kinetics of Ostwald ripening were studied in the high volume fraction regime by numerically solving the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard equations. It is shown that the growth exponent m is equal to 3, independent of the volume fraction, and the kinetic coefficient k increases as the volume fraction increases. The shape of size distributions changes significantly with increasing volume fraction of the coarsening phase; the skewness changes continuously from negative to positive while the kurtosis decreases in the low fraction regime and increases in the high volume fraction regime.

Original language	English (US)
Pages (from-to)	1895-1907
Number of pages	13
Journal	Acta Materialia
Volume	50
Issue number	8
DOIs	https://doi.org/10.1016/S1359-6454(01)00393-7
State	Published - May 8 2002

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Polymers and Plastics
Metals and Alloys

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10.1016/S1359-6454(01)00393-7

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title = "Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime",

abstract = "The microstructural evolution and kinetics of Ostwald ripening were studied in the high volume fraction regime by numerically solving the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard equations. It is shown that the growth exponent m is equal to 3, independent of the volume fraction, and the kinetic coefficient k increases as the volume fraction increases. The shape of size distributions changes significantly with increasing volume fraction of the coarsening phase; the skewness changes continuously from negative to positive while the kurtosis decreases in the low fraction regime and increases in the high volume fraction regime.",

author = "Danan Fan and Chen, \{S. P.\} and Chen, \{Long Qing\} and Voorhees, \{P. W.\}",

note = "Funding Information: DF and SPC's work is supported by the US Department of Energy, L-QC's work is supported by the National Science Foundation under the grant number DMR 0122638, and PWV work is supported by the Physical Sciences Division of NASA. ",

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doi = "10.1016/S1359-6454(01)00393-7",

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TY - JOUR

T1 - Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime

AU - Fan, Danan

AU - Chen, S. P.

AU - Chen, Long Qing

AU - Voorhees, P. W.

N1 - Funding Information: DF and SPC's work is supported by the US Department of Energy, L-QC's work is supported by the National Science Foundation under the grant number DMR 0122638, and PWV work is supported by the Physical Sciences Division of NASA.

PY - 2002/5/8

Y1 - 2002/5/8

N2 - The microstructural evolution and kinetics of Ostwald ripening were studied in the high volume fraction regime by numerically solving the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard equations. It is shown that the growth exponent m is equal to 3, independent of the volume fraction, and the kinetic coefficient k increases as the volume fraction increases. The shape of size distributions changes significantly with increasing volume fraction of the coarsening phase; the skewness changes continuously from negative to positive while the kurtosis decreases in the low fraction regime and increases in the high volume fraction regime.

AB - The microstructural evolution and kinetics of Ostwald ripening were studied in the high volume fraction regime by numerically solving the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard equations. It is shown that the growth exponent m is equal to 3, independent of the volume fraction, and the kinetic coefficient k increases as the volume fraction increases. The shape of size distributions changes significantly with increasing volume fraction of the coarsening phase; the skewness changes continuously from negative to positive while the kurtosis decreases in the low fraction regime and increases in the high volume fraction regime.

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DO - 10.1016/S1359-6454(01)00393-7

M3 - Article

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SP - 1895

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JO - Acta Materialia

JF - Acta Materialia

IS - 8

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Phase-field simulation of 2-D Ostwald ripening in the high volume fraction regime

Abstract

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