Kinetics of Phase Separation in Ternary Alloys

Yoshiyuki Saito*, Yoshihiro Suwa, Kazumi Ochi, Takahiro Aoki, Kanako Goto, Kotaro Abe

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)


    The asymptotic behavior of the minor element, Z, in a X-Y-Z ternary alloy associated with decomposition of the major element, Y, is classified into three groups according to the sign of the second derivative of the chemical free energy fI with respect to the concentration of Y, cY and the concentration of Z, cZ: In the case of ∂2f I/∂cY∂cZ > 0, the value of c Z along the trajectory of the peak top of the Y decreases with time. When ∂2fI/∂cZ∂cY < 0 at 0 ≤ t < ∞, peaks of cZ formed at peak tops of Y. The amplitudes of these peaks increase with time. If ∂2f I/∂cY∂cZ < 0 at 0 ≤ t < t0 and ∂2fI/∂cY∂ cZ > 0 at t0 < t < ∞, bifurcation of peaks occurs at the later stage.

    Original languageEnglish
    Pages (from-to)808-812
    Number of pages5
    JournalJournal of the Physical Society of Japan
    Issue number3
    Publication statusPublished - 2002 Mar


    • Asymptotic behaviour
    • Cahn-Hilliard equation
    • Phase separation
    • Ternary alloy system

    ASJC Scopus subject areas

    • Physics and Astronomy(all)


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