{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T10:59:36Z","timestamp":1753873176169,"version":"3.41.2"},"reference-count":38,"publisher":"AIP Publishing","issue":"24","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,12,28]]},"abstract":"<jats:p>The phase diagram of a simple model with two patches of type A and ten patches of type B (2A10B) on the face centred cubic lattice has been calculated by simulations and theory. Assuming that there is no interaction between the B patches the behavior of the system can be described in terms of the ratio of the AB and AA interactions, r. Our results show that, similarly to what happens for related off-lattice and two-dimensional lattice models, the liquid-vapor phase equilibria exhibit reentrant behavior for some values of the interaction parameters. However, for the model studied here the liquid-vapor phase equilibria occur for values of r lower than \\documentclass[12pt]{minimal}\\begin{document}$\\frac{1}{3}$\\end{document}13, a threshold value which was previously thought to be universal for 2AnB models. In addition, the theory predicts that below \\documentclass[12pt]{minimal}\\begin{document}$r=\\frac{1}{3}$\\end{document}r=13 (and above a new condensation threshold which is \\documentclass[12pt]{minimal}\\begin{document}$&amp;lt; \\frac{1}{3}$\\end{document}&amp;lt;13) the reentrant liquid-vapor equilibria are so extreme that it exhibits a closed loop with a lower critical point, a very unusual behavior in single-component systems. An order-disorder transition is also observed at higher densities than the liquid-vapor equilibria, which shows that the liquid-vapor reentrancy occurs in an equilibrium region of the phase diagram. These findings may have implications in the understanding of the condensation of dipolar hard spheres given the analogy between that system and the 2AnB models considered here.<\/jats:p>","DOI":"10.1063\/1.4771591","type":"journal-article","created":{"date-parts":[[2012,12,28]],"date-time":"2012-12-28T00:43:22Z","timestamp":1356655402000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":15,"title":["Three-dimensional patchy lattice model for empty fluids"],"prefix":"10.1063","volume":"137","author":[{"given":"N. G.","family":"Almarza","sequence":"first","affiliation":[{"name":"Instituto de Qu\u00edmica F\u00edsica Rocasolano 1 , CSIC, Serrano 119, E-28006 Madrid, Spain"}]},{"given":"J. M.","family":"Tavares","sequence":"additional","affiliation":[{"name":"Universidade de Lisboa 2 Centro de F\u00edsica Te\u00f3rica e Computacional, , Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal and , Rua Conselheiro Em\u00eddio Navarro 1, P-1950-062 Lisbon, Portugal"},{"name":"Instituto Superior de Engenharia de Lisboa 2 Centro de F\u00edsica Te\u00f3rica e Computacional, , Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal and , Rua Conselheiro Em\u00eddio Navarro 1, P-1950-062 Lisbon, Portugal"}]},{"given":"E. G.","family":"Noya","sequence":"additional","affiliation":[{"name":"Instituto de Qu\u00edmica F\u00edsica Rocasolano 1 , CSIC, Serrano 119, E-28006 Madrid, Spain"}]},{"given":"M. M.","family":"Telo da Gama","sequence":"additional","affiliation":[{"name":"Universidade de Lisboa 3 Centro de F\u00edsica Te\u00f3rica e Computacional, , Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal and Departamento de F\u00edsica, Faculdade de Ci\u00eancias, , Campo Grande, P-1749-016 Lisbon, Portugal"},{"name":"Universidade de Lisboa 3 Centro de F\u00edsica Te\u00f3rica e Computacional, , Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal and Departamento de F\u00edsica, Faculdade de Ci\u00eancias, , Campo Grande, P-1749-016 Lisbon, Portugal"}]}],"member":"317","published-online":{"date-parts":[[2012,12,27]]},"reference":[{"key":"2023062607472251700_c1","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1038\/nmat1949","volume":"6","year":"2005","journal-title":"Nature Mater."},{"key":"2023062607472251700_c2","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1002\/marc.201090000","volume":"31","year":"2010","journal-title":"Macromol. 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