### 抄録

The dynamics of clusters during phase transformation can be described by the Fokker-Planck equation. In this paper asymptotic behaviours of the Fokker-Planck equation were investigated. The driving force for nucleation in an infinite system is time dependent and the nucleation rate approaches a constant value, steady state nucleation rate. However, if the driving force is constant during the phase transformation, the number of clusters having the critical size increases with time. Therefore, the number of the stable clusters increases with time in the case that an external driving force is applied to compensate the decrease in the chemical driving force. This result may be helpful to develop a new method of thermomechanical control process.

元の言語 | English |
---|---|

ページ（範囲） | 591-594 |

ページ数 | 4 |

ジャーナル | Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan |

巻 | 86 |

発行部数 | 9 |

出版物ステータス | Published - 2000 9 |

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### ASJC Scopus subject areas

- Metals and Alloys

### これを引用

*Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan*,

*86*(9), 591-594.

**Nucleation kinetics in materials with a time-independent driving force during phase transformation.** / Saito, Yoshiyuki; Honjo, Minoru; Morimoto, Kenji; Konishi, Tetsuji; Kitada, Akihiko.

研究成果: Article

*Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan*, 巻. 86, 番号 9, pp. 591-594.

}

TY - JOUR

T1 - Nucleation kinetics in materials with a time-independent driving force during phase transformation

AU - Saito, Yoshiyuki

AU - Honjo, Minoru

AU - Morimoto, Kenji

AU - Konishi, Tetsuji

AU - Kitada, Akihiko

PY - 2000/9

Y1 - 2000/9

N2 - The dynamics of clusters during phase transformation can be described by the Fokker-Planck equation. In this paper asymptotic behaviours of the Fokker-Planck equation were investigated. The driving force for nucleation in an infinite system is time dependent and the nucleation rate approaches a constant value, steady state nucleation rate. However, if the driving force is constant during the phase transformation, the number of clusters having the critical size increases with time. Therefore, the number of the stable clusters increases with time in the case that an external driving force is applied to compensate the decrease in the chemical driving force. This result may be helpful to develop a new method of thermomechanical control process.

AB - The dynamics of clusters during phase transformation can be described by the Fokker-Planck equation. In this paper asymptotic behaviours of the Fokker-Planck equation were investigated. The driving force for nucleation in an infinite system is time dependent and the nucleation rate approaches a constant value, steady state nucleation rate. However, if the driving force is constant during the phase transformation, the number of clusters having the critical size increases with time. Therefore, the number of the stable clusters increases with time in the case that an external driving force is applied to compensate the decrease in the chemical driving force. This result may be helpful to develop a new method of thermomechanical control process.

UR - http://www.scopus.com/inward/record.url?scp=0034275269&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034275269&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034275269

VL - 86

SP - 591

EP - 594

JO - Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan

JF - Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan

SN - 0021-1575

IS - 9

ER -