AI 中文总结
本研究基于液体声子理论开发理论框架，结合 Yukawa 单组分等离子体模型，通过对比铝、铜的热容与电阻率实验数据，揭示了液体中局部类晶体有序性的特征，证明电阻率可作为探测该有序性的重要手段。
AI 中文摘要
本研究探讨液体中局部持续存在的类晶体有序性如何影响德拜-沃勒因子。我们基于液体声子理论开发了一套理论框架，引入了声子弛豫时间，其表达式为剪切黏度与无限频率剪切模量的比值，这些数值通过 Yukawa 单组分等离子体模型获取。在该框架内，我们推导了液体状态下的定压热容和德拜-沃勒因子表达式，这些表达式明确引入了由有限声子寿命带来的额外温度依赖性，非谐性则在准粒子近似内加以考虑。我们将得到的热容结果与 Gathers 测得的铝和铜的实验值进行对比，发现当假设存在局部类晶体有序性时，二者吻合良好。在将该方法应用于本研究的主要目标——电阻率研究之前，我们通过与实验热容的对比验证了该方法的有效性。我们将液体声子德拜-沃勒因子应用于先前[Phys. Rev. E 102, 053209 (2020)]中提出的致密物质电阻率研究方法，与 Gathers 的实验电阻率对比后，阐明了液态铝和液态铜中局部持续晶体有序性的特征。这些结果表明，电阻率测量可作为确定液体状态下晶体有序性程度和性质的重要探针。
英文摘要
This work investigates how locally persistent crystal-like ordering in liquids influences the Debye-Waller factor. We have developed a theoretical framework based on liquid-phonon theory which introduces a phonon relaxation time, expressed as the ratio of shear viscosity to infinite-frequency shear modulus. These values are obtained using the Yukawa one-component plasma model. Within this framework, we establish expressions for the heat capacity at constant pressure and the Debye-Waller factor for the liquid state. These expressions explicitly introduce additional temperature dependence arising from the finite phonon lifetime. Anharmonicity is accounted for within the quasi-particle approximation. We compare our heat capacity results with values measured by Gathers for aluminum and copper, finding good agreement when assuming partial local crystal-type order. Comparisons with experimental heat capacities serve to validate the approach prior to its application to the study of electrical resistivity, the principal objective of this work. Using liquid-phonon Debye-Waller factors in the methodology developed earlier in [Phys. Rev. E 102, 053209 (2020)] for electrical resistivity in dense matter, and comparing with experimental resistivities from Gathers, we elucidate the character of the locally persisting crystal order in liquid aluminum and liquid copper. These results indicate that the electrical resistivity measurements can serve as a valuable probe for determining both the extent and the nature of crystalline order in the liquid state.
Commentssubmitted to Phys. Rev. E
Journal refPhys. Rev. E 114, 015220 (2026)
