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\begin{document}

\title{Phase-field simulation of texture evolution in magmatic rocks}



\author[1]{Julia Kundin}%
\author[1]{Ingo Steinbach}%
\author[2]{Sumit Chakraborty}%
\affil[1]{Ruhr-University Bochum}%
\affil[2]{Ruhr-Universitat Bochum}%


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  \date{May 16, 2024}


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\begin{abstract}
The tool of phase-field modeling for the prediction of chemical as well
as microstructural evolution during crystallization from a melt in a
mineralogical system has been developed in this work. We provide a
compact theoretical background and introduce new aspects such as the
treatment of anisotropic surface energies that are essential for
modeling mineralogical systems. These are then applied to two simple
model systems - the binary olivine-melt and plagioclase-melt systems -
to illustrate the application of the developed tools. In one case
crystallization is modeled at a constant temperature and undercooling
while in the other the process of crystallization is tracked for a
constant cooling rate. These two examples serve to illustrate the
capabilities of the modeling tool. The results are analyzed in terms of
crystal size distributions (CSD) and with a view toward applications in
diffusion chronometry; future possibilities are discussed. The modeling
results demonstrate that growth at constant rates may be expected only
for limited extents of crystallization, that breaks in slopes of
CSD-plots should be common, and that the lifetime of a given crystal of
a phase is different from the lifetime of a phase in a magmatic system.
The last aspect imposes an inherent limit to timescales that may be
accessed by diffusion chronometry. Most significantly, this tool
provides a bridge between CSD analysis and diffusion chronometry - two
common tools that are used to study timescales of magmatic processes.%
\end{abstract}%



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