# Computer simulation of crystallization kinetics with non-Poisson distributed nuclei

Source: [Computer simulation of crystallization kinetics with non-Poisson distributed nuclei](<https://www.sota2.com/research/paper/68fa24412c2a3760193a1992>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:00:16.554Z

Authors: Patric Uebele, Helmut Hermann

Published: 1996-04-30T08:51:12.000Z

## Abstract

The influence of non-uniform distribution of nuclei on crystallization kinetics of amorphous materials is investigated. This case cannot be described by the well-known Johnson-Mehl-Avrami (JMA) equation, which is only valid under the assumption of a spatially homogeneous nucleation probability. The results of computer simulations of crystallization kinetics with nuclei distributed according to a cluster and a hardcore distribution are compared with JMA kinetics. The effects of the different distributions on the so-called Avrami exponent $n$ are shown. Furthermore, we calculate the small-angle scattering curves of the simulated structures which can be used to distinguish experimentally between the three nucleation models under consideration.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9604179>)

[PDF](<https://arxiv.org/pdf/cond-mat/9604179.pdf>)