• Corpus ID: 207847295

A large-scale statistical study of the coarsening rate in models of Ostwald-Ripening.

@article{Naraigh2019ALS,
title={A large-scale statistical study of the coarsening rate in models of Ostwald-Ripening.},
author={Lennon 'O N'araigh and Andrew Gloster},
journal={arXiv: Computational Physics},
year={2019}
}
• Published 8 November 2019
• Mathematics
• arXiv: Computational Physics
In this article we look at the coarsening rate in two standard models of Ostwald Ripening. Specifically, we look at a discrete droplet population model, which in the limit of an infinite droplet population reduces to the classical Lifshitz--Slyozov--Wagner model. We also look at the Cahn--Hilliard equation with constant mobility. We define the coarsening rate as $\beta=-(t/F)(d F/d t)$, where $F$ is the total free energy of the system and $t$ is time. There is a conjecture that the long-time…

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