The focus of the present work is the application of the random phaseapproximation (RPA), derived for inhomogeneous fluids [Frydel and Ma, Phys.Rev. E 93, 062112 (2016)], to penetrable-spheres. As penetrable-spherestransform into hard-spheres with increasing interactions, they provide aninteresting case for exploring the RPA, its shortcomings, and limitations, theweak- versus the strong-coupling limit. Two scenarios taken up by the presentstudy are a one-component and a two-component fluid with symmetricinteractions. In the latter case, the mean-field contributions cancel out andany contributions from particle interactions are accounted for by correlations.The accuracy of the RPA for this case is the result of a somewhat luckycancellation of errors.
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机译：本工作的重点是随机相近似（RPA）的应用，该随机相近似是为非均质流体推导的[Frydel和Ma，Phys.Rev。 E 93，062112（2016）]，到可穿透领域。随着可穿透球体随着交互作用的增加而转变为硬球体，它们为探索RPA，其缺点和局限，弱耦合与强耦合限制提供了有趣的案例。本研究采用的两种情况是具有对称相互作用的一组分和二组分流体。在后一种情况下，平均场贡献被抵消，并且粒子相互作用产生的任何贡献都由相关性解决。在这种情况下，RPA的准确性是通过一定程度的幸运消除误差的结果。
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