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

Yoshiyuki Saito, Minoru Honjo, Kenji Morimoto, Tetsuji Konishi, Akihiko Kitada

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)591-594
Number of pages4
JournalTetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan
Volume86
Issue number9
Publication statusPublished - 2000 Sep

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phase transformations
Fokker Planck equation
Nucleation
Phase transitions
nucleation
Kinetics
kinetics
Fokker-Planck equation

ASJC Scopus subject areas

  • Metals and Alloys

Cite this

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

In: Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan, Vol. 86, No. 9, 09.2000, p. 591-594.

Research output: Contribution to journalArticle

Saito, Yoshiyuki ; Honjo, Minoru ; Morimoto, Kenji ; Konishi, Tetsuji ; Kitada, Akihiko. / Nucleation kinetics in materials with a time-independent driving force during phase transformation. In: Tetsu-To-Hagane/Journal of the Iron and Steel Institute of Japan. 2000 ; Vol. 86, No. 9. pp. 591-594.
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