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.
| Original language | English |
|---|---|
| Pages (from-to) | 808-812 |
| Number of pages | 5 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 71 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2002 Mar |
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Keywords
- Asymptotic behaviour
- Cahn-Hilliard equation
- Phase separation
- Ternary alloy system
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Kinetics of Phase Separation in Ternary Alloys. / Saito, Yoshiyuki; Suwa, Yoshihiro; Ochi, Kazumi; Aoki, Takahiro; Goto, Kanako; Abe, Kotaro.
In: Journal of the Physical Society of Japan, Vol. 71, No. 3, 03.2002, p. 808-812.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Kinetics of Phase Separation in Ternary Alloys
AU - Saito, Yoshiyuki
AU - Suwa, Yoshihiro
AU - Ochi, Kazumi
AU - Aoki, Takahiro
AU - Goto, Kanako
AU - Abe, Kotaro
PY - 2002/3
Y1 - 2002/3
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.
KW - Asymptotic behaviour
KW - Cahn-Hilliard equation
KW - Phase separation
KW - Ternary alloy system
UR - http://www.scopus.com/inward/record.url?scp=0036246128&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036246128&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.71.808
DO - 10.1143/JPSJ.71.808
M3 - Article
VL - 71
SP - 808
EP - 812
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 3
ER -