# Phase-field modeling of two-dimensional solute precipitation/dissolution: Solid fingers and diffusion-limited precipitation

Source: [Phase-field modeling of two-dimensional solute precipitation/dissolution: Solid fingers and diffusion-limited precipitation](<https://www.sota2.com/research/paper/68fa38251e209131ce8b7f88>)

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

Data updated: 2025-10-24T22:48:29.733Z

Authors: Zhijie Xu, Paul Meakin

Published: 2018-08-02T17:09:47.000Z

## Abstract

Two-dimensional dendritic growth due to solute precipitation was simulated using a phase-field model reported earlier \[Z. Xu and P. Meakin, J. Chem. Phys. 129, 014705 (2008)\]. It was shown that diffusion-limited precipitation due to the chemical reaction at the solid-liquid interface posses similarities with diffusion-limited aggregation (DLA). The diffusion-limited precipitation is attained by setting the chemical reaction rate much larger compared to the solute diffusion to eliminate the effect of the interface growth kinetics. The phase-field simulation results were in reasonable agreement with the analytical solutions. The fractal solid fingers can be formed in the diffusion-limited precipitation and have a fractal dimension measured , close to 1.64, the fractal dimensionality of large square lattice diffusion-limited aggregation (DLA) clusters.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1808.00919>)

[PDF](<https://arxiv.org/pdf/1808.00919.pdf>)