{ "id": "1704.06725", "version": "v1", "published": "2017-04-22T00:17:21.000Z", "updated": "2017-04-22T00:17:21.000Z", "title": "Inhomogeneous fluid of penetrable-spheres: application of the random phase approximation", "authors": [ "Yan Xiang", "Derek Frydel" ], "categories": [ "cond-mat.stat-mech" ], "abstract": "The focus of the present work is the application of the random phase approximation (RPA), derived in Ref. [D. Frydel and M. Ma, Phys. Rev. E {\\bf 93}, 062112 (2016)] for inhomogeneous fluids, to penetrable-spheres. As penetrable-spheres transform into hard-spheres with increasing interactions, they provide an interesting case for exploring the RPA, its shortcomings and limitations, the weak- versus the strong-coupling limit. Two scenarios taken up by the present study are a one-component and a two-component fluids with symmetric interactions. It is the latter case for which the RPA is particularly useful. In this case the mean-field contributions are cancelled and any contributions from particle interactions are accounted for by correlations. The accuracy of the RPA for this case is the result of a somewhat lucky cancellation of errors.", "revisions": [ { "version": "v1", "updated": "2017-04-22T00:17:21.000Z" } ], "analyses": { "keywords": [ "random phase approximation", "inhomogeneous fluid", "application", "somewhat lucky cancellation", "scenarios taken" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }