含波动环境中的流体力学场: 简单液体等容热容模型

使用函数方法，我们在受非流体力学自由度高能过程影响的简单液体低温下，研究来源于量子化流体力学场的声量子。为建模这些效应对流体力学场的影响，我们假设量子场耦合到一个在空间和时间上delta相关的添加型量子噪声场。因此，定义在波动环境中的流体力学场。 After defining the presence of the noise field, we perform a functional integral over all noise field configurations. This is done using a formal object inspired by the distributional zeta-function method, called the configurational zeta-function. We obtain a new generating functional written in terms of an analytically tractable functional series. This formalism allow us to obtain the excitation spectra of liquids. In the liquid, each term of the series describes the emergent non-interacting elementary excitations with the usual phonon-like dispersion relation and additional excitations with dispersion relations with gaps in pseudo-momentum space. Finally, the behavior of the constant volume specific heat as a function of temperature is obtained for different simple liquids.