Kinetics of phase transformation in complex systems

Ge Yu; S. T. Lee; J. K L Lai

doi:10.1103/PhysRevB.57.13573

Kinetics of phase transformation in complex systems

Ge Yu
, S. T. Lee
, J. K L Lai

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

6 Citations (Scopus)

36 Downloads (CityUHK Scholars)

Abstract

Kinetics of phase transformation in complex systems, in which more than one subprocess with different nucleation and growth rates are involved, is studied. Based on probability theory, exact solutions for one-dimensional model systems are obtained. Corresponding derivations for two- and three-dimensional systems can be discussed. Analytical treatments are compared with Monte Carlo simulations using model systems of vast size. Strong nonlinear character is observed for the one-dimensional system, whereas linear superposition presents a rather good approach for two- and three-dimensional systems. This linear approximation provides a practical method particularly for theoretical modeling of crystal growth with different reactants or different products, and with tendencies of preferential nucleation or preferential growth.

© 1998 The American Physical Society

Original language	English
Pages (from-to)	13573-13582
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	57
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevB.57.13573
Publication status	Published - 1 Jun 1998

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Yu, G., Lee, S. T., & Lai, J. K. L. (1998). Kinetics of phase transformation in complex systems. Physical Review B - Condensed Matter and Materials Physics, 57(21), 13573-13582. https://doi.org/10.1103/PhysRevB.57.13573. The copyright of this article is owned by American Physical Society.

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title = "Kinetics of phase transformation in complex systems",

abstract = "Kinetics of phase transformation in complex systems, in which more than one subprocess with different nucleation and growth rates are involved, is studied. Based on probability theory, exact solutions for one-dimensional model systems are obtained. Corresponding derivations for two- and three-dimensional systems can be discussed. Analytical treatments are compared with Monte Carlo simulations using model systems of vast size. Strong nonlinear character is observed for the one-dimensional system, whereas linear superposition presents a rather good approach for two- and three-dimensional systems. This linear approximation provides a practical method particularly for theoretical modeling of crystal growth with different reactants or different products, and with tendencies of preferential nucleation or preferential growth. {\textcopyright} 1998 The American Physical Society",

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T1 - Kinetics of phase transformation in complex systems

AU - Yu, Ge

AU - Lee, S. T.

AU - Lai, J. K L

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N2 - Kinetics of phase transformation in complex systems, in which more than one subprocess with different nucleation and growth rates are involved, is studied. Based on probability theory, exact solutions for one-dimensional model systems are obtained. Corresponding derivations for two- and three-dimensional systems can be discussed. Analytical treatments are compared with Monte Carlo simulations using model systems of vast size. Strong nonlinear character is observed for the one-dimensional system, whereas linear superposition presents a rather good approach for two- and three-dimensional systems. This linear approximation provides a practical method particularly for theoretical modeling of crystal growth with different reactants or different products, and with tendencies of preferential nucleation or preferential growth. © 1998 The American Physical Society

AB - Kinetics of phase transformation in complex systems, in which more than one subprocess with different nucleation and growth rates are involved, is studied. Based on probability theory, exact solutions for one-dimensional model systems are obtained. Corresponding derivations for two- and three-dimensional systems can be discussed. Analytical treatments are compared with Monte Carlo simulations using model systems of vast size. Strong nonlinear character is observed for the one-dimensional system, whereas linear superposition presents a rather good approach for two- and three-dimensional systems. This linear approximation provides a practical method particularly for theoretical modeling of crystal growth with different reactants or different products, and with tendencies of preferential nucleation or preferential growth. © 1998 The American Physical Society

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DO - 10.1103/PhysRevB.57.13573

M3 - RGC 22 - Publication in policy or professional journal

SN - 0163-1829

VL - 57

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EP - 13582

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 21

ER -

Kinetics of phase transformation in complex systems

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