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在一个狭窄的通道中,二维树突晶体生长的缩放规律

Younggil Song^1,2, Damien Tourret³, Alain Karma¹

¹Department of Physics and Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115, USA.

Physical review. E

|June 17, 2023

概括

在狭窄的道中,二维针晶体的生长会随着时间的推移而减慢. 在临界宽度以上,生长速度稳定在自由生长极限以下,随着道的扩大而接近它.

科学领域:

材料科学材料科学材料科学
物理物理学物理
化学工程是化学工程的重要组成部分.

背景情况:

了解晶体生长动态对于材料加工和固化至关重要.
针晶体的生长是各种固化过程中常见的现象.

研究的目的:

通过分析和计算来研究狭窄通道中二维针晶体生长的动态.
确定通道宽度对生长速度和时间演变的影响.

主要方法:

对低超和条件的分析理论开发.
阶段场模拟用于模拟晶体生长.
用于验证的树突针网络模拟.

主要成果:

根据功率定律V∼t^{-2/3}在低超和度下分析预测增长速度.
模拟验证预测的权力定律行为.
对临界通道宽度 (Λ≈5l_{D}) 的观察,在此上方的增长速度变得恒定,在自由增长速度 (V
证明随着通道宽度的增加,增长速度接近自由增长速度 (V_{s}).

结论:

该研究提供了对受限针晶体生长动态的全面了解.
道几何学显著影响固化动力学,为控制材料性质提供了潜在的潜力.

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