摘要翻译：
基于大势的维里展开，我们给出了受任意外势约束的流体的完整热力学。流体可以是经典的，也可以是量子的，假设原子间相互作用是两两相加的。我们指出，对于热力学极限中给定的约束势，如何出现适当的“广义”体积和压力变量，以取代通常的体积和静水压力。讨论了这些变量的物理意义和测量方法。我们强调，这种处理得到了正确的流体状态方程，并给出了它的维里展开式。我们提出了一个测量热容的实验，以便用这个量和状态方程提取系统的完整热力学。作为推论，我们发现在热力学极限下，这些系统的所谓{it局域密度近似}是遵循的，尽管我们也指出它不能任意地用于所有局域变量。沿着正文，我们讨论了这些发现在描述目前被限制的超冷气体中的相关性。
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英文标题：
《Thermodynamics and the virial expansion for trapped fluids in arbitrary
  external potentials》
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作者：
Nadia Sandoval-Figueroa and V\'ictor Romero-Roch\'in
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are pairwise additive. We indicate how the appropriate "generalized" volume and pressure variables, that replace the usual volume and hydrostatic pressure, emerge for a given confining potential in the thermodynamic limit. A discussion of the physical meaning and of the measurement of these variables is presented. We emphasize that this treatment yields the correct equation of state of the fluid and we give its virial expansion. We propose an experiment to measure the heat capacity, so that with this quantity and the equation of state, the complete thermodynamics of the system may be extracted. As a corollary, we find that the so-called {\it local density approximation} for these systems follows in the thermodynamic limit, although we also point out that it cannot be used indiscriminately for all local variables. Along the text we discuss the relevance of these findings in the description of the currently confined ultracold gases.
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PDF链接：
https://arxiv.org/pdf/706.1322