Journal
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS
Volume 44, Issue 9A, Pages 6688-6694Publisher
JAPAN SOC APPLIED PHYSICS
DOI: 10.1143/JJAP.44.6688
Keywords
phase transformation; cell dynamics; KJMA theory
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In this study, we use the cell dynamics method to test the validity of the Kormogorov-Johnson-Mehi-Avrami (KJMA) theory of phase transformation. This cell dynamics method is similar to the well-known phase-field model, but it is a more simple and efficient numerical method for studying various scenarios of phase transformation in a unified manner. We find that the cell dynamics method reproduces the time evolution of the volume fraction of the transformed phase predicted by the KJMA theory. Specifically, the cell dynamics simulation reproduces a double-logarithmic linear KJMA plot and confirms the integral Avrami exponents n predicted from the KJMA theory. Our study clearly demonstrates that the cell dynamics approach is not only useful for studying the pattern formation but also for simulating the most basic properties of phase transformation.
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