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Finite size corrections for the Johnson–Mehl–Avrami–Kolmogorov equation

Published online by Cambridge University Press:  31 January 2011

L. E. Levine ,
K. Lakshmi Narayan  and
K. F. Kelton
L. E. Levine
Affiliation:
Department of Physics, Washington University, St. Louis, Missouri 63130
K. Lakshmi Narayan
Affiliation:
Department of Physics, Washington University, St. Louis, Missouri 63130
K. F. Kelton
Affiliation:
Department of Physics, Washington University, St. Louis, Missouri 63130
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Abstract

The Johnson–Mehl–Avrami–Kolmogorov (JMAK) equation is frequently used to describe phase transformations involving nucleation and growth. The assumptions used in the derivation of this equation, however, are frequently violated when making experimental measurements; use of the JMAK equation for analyzing such data can often produce invalid results. Finite-size effects are among the most serious of these problems. We present modified analytic JMAK equations that correct for the finite-size effects and are roughly independent of both the sample shape and the shape of the growing nuclei. A comparison with computer simulations shows that these modified JMAK equations accurately reproduce the growth behavior over a wide range of conditions.

Type
Articles
Information
Journal of Materials Research , Volume 12 , Issue 1 , January 1997 , pp. 124 - 132
Copyright
Copyright © Materials Research Society 1997

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References

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