发表机构
U-MAP Co., Ltd.（U-MAP有限公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出电导过滤方法，将粒子对热导分为接触、近接触和键合三类，以汇边界持久性分析耗散份额，实现单边变化的精确预测，为复合材料热传输提供诊断工具。
AI 中文摘要
我们将粒子对的热导 $g_e$ 在单一构造中表述为三种分支类型——接触、近接触和键合——并引入以 $g_e$ 为轴的过滤（电导过滤），以及相对于汇边界取的持久性。然后我们证明耗散份额恰好是有效电导的对数敏感性，并且单个边的有限变化可以以封闭形式精确预测。分支类型间的耗散分配以及每种机制（界面、基体和颗粒）的理想化比率，从而在同一图表示上作为诊断量获得。
英文摘要
We formulate the thermal conductance $g_e$ of a particle pair as three branch types -- contact, near-contact and bond -- within a single construction, and we introduce the filtration that takes this $g_e$ as its axis (the conductance filtration) together with persistence taken relative to the sink boundary. We then show that the dissipation share is exactly the logarithmic sensitivity of the effective conductance, and that a finite change of a single edge is predicted exactly in closed form. The allocation of the dissipation among branch types, and the idealisation ratio of each mechanism (interface, matrix and particle), are thereby obtained as diagnostic quantities on one and the same graph representation.
Comments45 pages, 15 figures. Japanese-language version: https://doi.org/10.5281/zenodo.22760047
