arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2106.06336cond-mat.stat-mech
收藏

Kolmogorov-Johnson-Mehl-Avrami模型中体模与空间相关性的联系

Connection between Phantom and Spatial Correlation in the Kolmogorov-Johnson-Mehl-Avrami-model: A brief review

Massimo Tomellini, Massimo Fanfoni

摘要:

本文的目的仅限于描述Kolmogorov-Johnson-Mehl-Avrami模型从诞生到现在的演变过程。该模型可以追溯到20世纪30年代后期,其目的是描述相变的动力学。鉴于本文的性质,尽管有数百(如果不是数千)关于最不同主题的实验数据,这些数据是根据KJMA模型解释的,但与这些相关的论点将不会被触及。从Avrami为了得到精确的动力学而首次提出的巧妙的幻影核概念出发,我们回顾了克服这一概念的理论方法。我们将展示原子核之间的空间相关性如何在这些建模中发挥重要作用。

英文摘要:

The goal of this minireview is restricted to describe how the Kolmogorov-Johnson-Mehl-Avrami model has evolved from its birth up to the present day. The model, which dates back to the late of 1930s, has the purpose of describing the kinetics of a phase transformation. Given the nature of this article, although there are hundreds (if not thousands) of experimental data concerning the most disparate topics, which are interpreted on the basis of the KJMA model, no arguments relating to these, will be touched upon. Starting from the ingenious concept of phantom nuclei, firstly introduced by Avrami to get the exact kinetics, we review theoretical approaches which overcome such concept. We will show how spatial correlation among nuclei plays a fundamental role in these modelings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑