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By introducing a parameter based on the mixture\u2019s reduced third virial coefficient\u2014which effectively captures three-body correlations and excluded-area constraints\u2014we show that the RCP fraction depends nearly linearly on this parameter, leading to a near-universal collapse of simulation data over a wide range of size ratios and compositions. Comparisons with previous models by Brouwers and Zaccone indicate that the present approach provides more accurate and consistent predictions. The method can be naturally extended to polydisperse mixtures with continuous size distributions and is structurally consistent with the surplus equation-of-state formulation, offering a compact framework for understanding the near universality of RCP in hard-disk systems.<\/jats:p>","DOI":"10.1063\/5.0328013","type":"journal-article","created":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T12:22:16Z","timestamp":1774268536000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Predicting random close packing of binary hard-disk mixtures via third-virial-based parameters"],"prefix":"10.1063","volume":"164","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9564-5180","authenticated-orcid":false,"given":"Andr\u00e9s","family":"Santos","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica and Instituto de Computaci\u00f3n Cient\u00edfica Avanzada (ICCAEx), Universidad de Extremadura 1 , E-06006 Badajoz,","place":["Spain"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7002-1128","authenticated-orcid":false,"given":"Mariano","family":"L\u00f3pez de Haro","sequence":"additional","affiliation":[{"name":"Instituto de Energ\u00edas Renovables, U.N.A.M. 2 , Privada Xochicalco s\/n, Col. 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