随机项对用相场模型分析的树突形状的影响
Shinya Fujiwara1, Kiyoshiro Okada1, Katsuhiro Endo2
1Department of Science for Open and Environmental Systems, Graduate School of Keio University, Yokohama, Kanagawa, Japan.
PloS one
|August 4, 2025
概括
随机噪声差异显著影响树形状,而分布类型影响计算速度. 均分布的速度是高斯的两倍以上,用于树突模型.
科学领域:
- 材料科学 材料科学 材料科学
- 计算机建模 计算建模
- 物理 物理学 物理
背景情况:
- 树岩的形成在材料科学中至关重要,受到各种因素的影响.
- 了解模拟中随机项的影响是准确建模的关键.
- 以前的模型经常简化或省略了接口和热噪声的影响.
研究的目的:
- 量化评估随机项对树突侧枝结构和计算时间的影响.
- 研究不同类型 (接口和热) 噪声的影响,它们的分布和差异.
- 将模拟结果与实验数据进行比较,以验证 Succinonitrile 的模型.
主要方法:
- 介绍了界面噪声 ([公式:见文本]) 和热噪声 ([公式:见文本]) 分别进入相场和传热方程中.
- 随机项的类型,其概率分布 (均与高斯式) 和其方差 (由Fu控制) 变化.
- 分析了使用侧枝长度,轮长度和面积的树枝形态;将模拟与Succinonitrile的实验数据进行比较.
主要成果:
- 随机项的差异对树形状产生了最显著的影响.
- 随机数字的概率密度函数不会影响树形态.
- 使用随机数的均分布导致计算时间比高斯分布快两倍多.
结论:
- 不同的噪声术语需要不同的方差顺序来准确地建模状物.
- 虽然随机数分布会影响计算效率,但差异是树形态的主要驱动因素.
- 该研究提供了通过控制噪声参数来优化树突生长的计算模型的见解.
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