AI 中文总结
本研究针对双组分体系，通过空间体积平均法推导非傅里叶热传导的连续介质热方程，解析证明非均匀介质本质过扩散，解释其尺寸依赖性并经多类材料实验数据验证。
AI 中文摘要
非傅里叶热传导的现象学模型通常缺乏严格的微观结构基础，这导致在对复杂非均匀材料建模时存在歧义。本研究针对双组分体系，利用空间体积平均法推导了超越傅里叶定律的连续介质热方程。我们从解析角度证明，实验观测到的静态和动态热扩散率直接源于不同的材料属性，由此得出非均匀介质本质上是过扩散的结论。所得热方程符合热力学要求，且其微观结构起源可用于计算非傅里叶输运系数。此外，我们证实有限尺寸样本的边界会引入高阶空间非局域性，从而解释过扩散的尺寸依赖性。我们针对金属泡沫、碳泡沫、岩石以及金属有机框架的实验数据对该模型进行了验证。
英文摘要
Phenomenological models of non-Fourier heat conduction often lack a strict microstructural foundation, leading to ambiguities when modeling complex heterogeneous materials. In this study, we derive a continuum heat equation beyond Fourier's law using spatial volume averaging for a two-component system. We analytically prove that the experimentally observed static and dynamic thermal diffusivity arise directly from the distinct material properties, concluding that heterogeneous media are inherently over-diffusive. The resulting heat equation is thermodynamically compatible, and the microstructural origin allows the calculation of non-Fourier transport coefficients. Furthermore, we demonstrate that finite-sample boundaries introduce higher-order spatial non-localities, thereby explaining the size dependence of over-diffusion. We validate the model against experimental data across metal and carbon foams, rocks, and metal-organic frameworks.
