Abstract We present a model of pressure-dependent melting temperature to describe the physical fact that both cooling and pressurization can cause the solidification of liquid metal. Based on the Force-Heat Equivalence Energy Density Principle, an equivalent relationship between the heat energy variations during cooling and the mechanical work during pressurization is established as the molten metal solidifies. Then, this equivalent relationship is applied to develop a pressure-dependent melting temperature model without any adjustable parameter for metals. The model reveals the inner relationship between melting temperature, pressure, the bulk modulus and its first pressure derivative at zero pressure. The predicted results by our model are in good agreement with the available experimental data. Moreover, this study provides insights into the fundamental understanding of quantitative effect of pressure on melting temperature, which is in contrast to the well-known Lindemann's and Simon's equations that are both empirical melting temperature equations. It is worth noting that the melting curve of metals to very high pressure can be well predicted by our model only needing two experimental data at low pressures.

中文翻译：

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模拟金属的压力相关熔化温度

摘要 我们提出了一个与压力相关的熔化温度模型来描述冷却和加压都会导致液态金属凝固的物理事实。根据力-热等效能量密度原理，随着熔融金属的凝固，冷却过程中的热能变化与加压过程中的机械功之间建立了等效关系。然后，应用这种等效关系来开发与压力相关的熔化温度模型，没有任何金属可调节参数。该模型揭示了熔融温度、压力、体积模量及其零压力下的一阶压力导数之间的内在关系。我们模型的预测结果与可用的实验数据非常吻合。而且，这项研究提供了对压力对熔化温度的定量影响的基本理解的见解，这与众所周知的林德曼方程和西蒙方程形成鲜明对比，后者都是经验熔化温度方程。值得注意的是，我们的模型可以很好地预测金属到非常高压力的熔化曲线，只需要两个低压下的实验数据。