Kinetics of Phase Separation in Ternary Alloys

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

    研究成果: Article

    12 引用 (Scopus)

    抄録

    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.

    元の言語English
    ページ(範囲)808-812
    ページ数5
    ジャーナルJournal of the Physical Society of Japan
    71
    発行部数3
    DOI
    出版物ステータスPublished - 2002 3

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    ternary alloys
    kinetics
    free energy
    trajectories
    decomposition

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    これを引用

    Saito, Y., Suwa, Y., Ochi, K., Aoki, T., Goto, K., & Abe, K. (2002). Kinetics of Phase Separation in Ternary Alloys. Journal of the Physical Society of Japan, 71(3), 808-812. https://doi.org/10.1143/JPSJ.71.808

    Kinetics of Phase Separation in Ternary Alloys. / Saito, Yoshiyuki; Suwa, Yoshihiro; Ochi, Kazumi; Aoki, Takahiro; Goto, Kanako; Abe, Kotaro.

    :: Journal of the Physical Society of Japan, 巻 71, 番号 3, 03.2002, p. 808-812.

    研究成果: Article

    Saito, Y, Suwa, Y, Ochi, K, Aoki, T, Goto, K & Abe, K 2002, 'Kinetics of Phase Separation in Ternary Alloys', Journal of the Physical Society of Japan, 巻. 71, 番号 3, pp. 808-812. https://doi.org/10.1143/JPSJ.71.808
    Saito, Yoshiyuki ; Suwa, Yoshihiro ; Ochi, Kazumi ; Aoki, Takahiro ; Goto, Kanako ; Abe, Kotaro. / Kinetics of Phase Separation in Ternary Alloys. :: Journal of the Physical Society of Japan. 2002 ; 巻 71, 番号 3. pp. 808-812.
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    abstract = "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.",
    keywords = "Asymptotic behaviour, Cahn-Hilliard equation, Phase separation, Ternary alloy system",
    author = "Yoshiyuki Saito and Yoshihiro Suwa and Kazumi Ochi and Takahiro Aoki and Kanako Goto and Kotaro Abe",
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    AU - Ochi, Kazumi

    AU - Aoki, Takahiro

    AU - Goto, Kanako

    AU - Abe, Kotaro

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    N2 - 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.

    AB - 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.

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    KW - Cahn-Hilliard equation

    KW - Phase separation

    KW - Ternary alloy system

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