### Abstract

Phase sepation behavior in an Fe-based ternary system was investigated by using a model based on the Cahn-Hilliard equation. The asymptotic behavior of the minor element, Y, in an Fe-X-Y ternary alloy along a trajectory of a peak top of the major element, X, is classified into three groups according to the sign of the second derivative of the chemical free energy f_{1} with respect to the concentration of X, c_{X} and the concentration of Y, c_{Y}, f′_{XY}≡∂^{2}f _{1}/∂_{CX}∂_{CY}. If f′_{XY} > 0 the value of c_{Y} along the trajectory of the peak top of Y decreases with time. When f′_{XY} < 0 at 0 ≤ t < t _{0} and f′_{XY} > 0 at t_{0} < t < ∞, peaks of c_{Y} formed at the peak tops of Y. The amplitute of the peak increases with time. In the case that f′_{XY} < 0 at 0 ≤ t < t_{0} and f′_{XY}0 at t_{0} < t < ∞, peaks of c_{Y} formed at the peak tops of Y at the initial stage. Bifurcation of peaks occurs. The concentration of the major element, c_{X}, along the trajectory of its peak increases with time regardless of the sign of f′_{XY}.

Original language | English |
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Pages (from-to) | 1273-1277 |

Number of pages | 5 |

Journal | Intermetallics |

Volume | 11 |

Issue number | 11-12 SPEC. ISS |

DOIs | |

Publication status | Published - 2003 Nov |

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### Keywords

- A. Ternary alloy systems
- B. Phase transformations

### ASJC Scopus subject areas

- Metals and Alloys

### Cite this

*Intermetallics*,

*11*(11-12 SPEC. ISS), 1273-1277. https://doi.org/10.1016/S0966-9795(03)00168-7