论文标题
在外场中相互作用的硬球体
Interacting hard-sphere fluids in an external field
论文作者
论文摘要
我们提出了一种研究在任意外场中相互作用流体的平衡特性的新方法。流体由具有硬核排斥的单分散球颗粒和任意形状和有限范围的其他相互作用组成。我们的分析方法在一个维度上是精确的，并在更高维度中提供了明显的良好近似值。它可以应对同质和异质环境。我们得出配对分布函数的方程式。该解决方案，通常是在特殊情况下进行数值，或分析的评估，将进入熵和自由能功能的表达式。对于某些一维系统，我们的方法产生分析解决方案，从不同方法中重现可用的确切结果。
We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary shape and limited range. Our method of analysis is exact in one dimension and provides demonstrably good approximations in higher dimensions. It can cope with homogeneous and heterogeneous environments. We derive an equation for the pair distribution function. The solution, to be evaluated numerically, in general, or analytically for special cases, enters expressions for the entropy and free energy functionals. For some one-dimensional systems, our approach yields analytic solutions, reproducing available exact results from different approaches.
