标题： 液体的声子理论的另一种方法：Frenkel频率和比热容随压力和温度变化的分析研究 显示英文标题

标题： An alternative approach to the phonon theory of liquids: An analytical study of Frenkel frequency and heat capacity as a function of pressure and temperature

摘要： 基于麦克斯韦关系和实验粘度数据，液体的声子理论可以提供一种与实验数据一致的温度依赖的液体比热描述。 然而，由于液体比热也随压力变化，我们提出了一种替代方法，可以在假设扩散平衡的前提下，通过应用化学势的概念，以温度和压力来计算弗伦克尔频率。 利用这种推导出的弗伦克尔频率，我们建立了不需粘度数据即可用温度和压力表示液体比热的解析表达式，该表达式与液体声子理论的预测一致。 我们的模型通过将计算得到的液体比热与四种惰性液体在不同压力和温度下的实验数据进行比较进行测试，并发现良好的一致性。 最后，根据我们的研究结果，我们提出了弗伦克尔线和粘度作为压力和温度函数的解析表达式，并讨论了我们方法的关键细节和意义。 显示英文摘要

摘要： Based on the Maxwell relationship and experimental viscosity data, the phonon theory of liquids can provide a temperature-dependent description of liquid heat capacity that is consistent with experimental data. However, since liquid heat capacity also varies with pressure, we present an alternative approach that can be used to calculate the Frenkel frequency in terms of temperature and pressure by applying the concept of chemical potential under the assumption of a diffusive equilibrium. Using this derived Frenkel frequency, we formulate an analytical expression for the liquid heat capacity in terms of both temperature and pressure, without the need for viscosity data, which is consistent with predictions from the phonon theory of liquids. Our model is tested by comparing the calculated heat liquid capacity with experimental data for four noble liquids at various pressures and temperatures, and good agreement is found. Finally, based on our findings, we propose analytical expressions for the Frenkel line and viscosity as a function of pressure and temperature, and discuss the key details and implications of our approach.