通过细胞自动机建模的交叉扩散波:在多孔介质中形成模式
Zhennan Zhu1, Klaus Regenauer-Lieb2, Manman Hu1
1Department of Civil Engineering, The University of Hong Kong, HKSAR 999077, China.
Chaos (Woodbury, N.Y.)
|January 22, 2025
概括
本研究引入了一种新的交叉扩散框架,用于模拟多孔材料中的模式形成. 该模型有效地模拟了变形带,揭示了外部力量如何驱动复杂系统中的模式演变.
科学领域:
- 地质物理学和材料科学 材料科学
- 多尺度和多物理现象
背景情况:
- 多孔土材料显示大规模的变形模式,如变形带,由复杂的小规模相互作用产生的.
- 了解这些多尺度现象需要先进的建模技术,这些技术将微观物理与宏观行为联系起来.
研究的目的:
- 引入一种新的交叉传播框架,用于模拟多尺度,多物理模式在多孔介质中的形成.
- 开发一种微物理学丰富的连续性方法,用于准确预测变形带演变.
- 在多孔材料中研究"交叉扩散波"的动态.
主要方法:
- 开发一种以多种化学系统为灵感的交叉传播框架.
- 实施微物理丰富的连续性方法.
- 利用细胞自动算法来分辨多孔网络结构,提高计算效率.
主要成果:
- 拟议的框架准确地预测了变形模式的形成和演变.
- 在模拟模式形成方面实现了实质性的计算效率.
- 外部热力学力被证明可以在交叉合的动态系统中启动模式形成.
- 变形带的传播速度由交叉扩散和交叉反应系数控制.
结论:
- 该研究为交叉合的多成分反应系统中模式形成提供了一个通用框架.
- 交叉扩散在不稳定性的动态中起着至关重要的作用,例如在多孔介质中的"交叉扩散波".
- 这些发现对理解在干雪等物质中观察到的现象有意义.
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