Investigating heterogeneous materials’ microstructure, often simulated using periodic images, is crucial for understanding their physical traits. We propose a generic spring-based representation for periodic two-component structures. The equilibrium energy in this framework serves as an order parameter, offering an analytical expression for wrapping and introducing the concept of critical bonds. We show that these minimum bonds for depercolation can be efficiently detected. The number of critical bonds scales with system size, accurately capturing contact-based transport’s scaling. This approach holds potential to analyze functional robustness of networks.

中文翻译：

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无限结构的能量公式：渗流的有序参数、临界键和基于接触的输运的幂律缩放

研究异质材料的微观结构（通常使用周期图像进行模拟）对于了解其物理特性至关重要。我们提出了一种基于弹簧的周期性二元结构的通用表示。该框架中的平衡能作为有序参数，提供了包装的解析表达式并引入了临界键的概念。我们表明，可以有效地检测到这些用于脱渗的最小键。关键键的数量随着系统尺寸的变化而变化，从而准确地捕捉基于接触的传输的变化。这种方法具有分析网络功能鲁棒性的潜力。