The microscopic mechanism of thermal transport in liquids and amorphous solids has been an outstanding problem for a long time. There have been several different approaches to explain the thermal conductivities for these systems, for example, the Bridgman's formula for simple liquids, the concept of the minimum thermal conductivity for amorphous solids, and the thermal resistance network model for amorphous polymers. Here, we present a ubiquitous formula to explain the thermal conductivities of liquids and amorphous solids in a unified way. The calculated thermal conductivities using this formula without fitting parameters are in excellent agreement with the experimental data for these systems. Our formula is not only providing detailed implications on microscopic mechanisms of heat transfer in these systems, but also solves the discrepancies between existing formulae and experimental data.

中文翻译：

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适用于液体、聚合物玻璃和无定形固体的普遍导热公式

长期以来，液体和无定形固体中热传输的微观机制一直是一个突出的问题。有几种不同的方法来解释这些系统的热导率，例如，简单液体的布里奇曼公式、无定形固体的最小热导率概念以及无定形聚合物的热阻网络模型。在这里，我们提出了一个普遍存在的公式来统一解释液体和无定形固体的热导率。在没有拟合参数的情况下使用该公式计算的热导率与这些系统的实验数据非常吻合。我们的公式不仅提供了对这些系统中传热微观机制的详细影响，