{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T06:56:41Z","timestamp":1763535401057,"version":"3.41.2"},"reference-count":35,"publisher":"AIP Publishing","issue":"7","funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["EXCL\/FIS-NAN\/0083\/2012","UID\/FIS\/00618\/2013"],"award-info":[{"award-number":["EXCL\/FIS-NAN\/0083\/2012","UID\/FIS\/00618\/2013"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2016,8,21]]},"abstract":"<jats:p>We investigate percolation in binary and ternary mixtures of patchy colloidal particles theoretically and using Monte Carlo simulations. Each particle has three identical patches, with distinct species having different types of patch. Theoretically we assume tree-like clusters and calculate the bonding probabilities using Wertheim\u2019s first-order perturbation theory for association. For ternary mixtures, we find up to eight fundamentally different percolated states. The states differ in terms of the species and pairs of species that have percolated. The strongest gel is a trigel or tricontinuous gel, in which each of the three species has percolated. The weakest gel is a mixed gel in which all of the particles have percolated, but none of the species percolates by itself. The competition between entropy of mixing and internal energy of bonding determines the stability of each state. Theoretical and simulation results are in very good agreement. The only significant difference is the temperature at the percolation threshold, which is overestimated by the theory due to the absence of correlations between bonds in the theoretical description.<\/jats:p>","DOI":"10.1063\/1.4960808","type":"journal-article","created":{"date-parts":[[2016,8,17]],"date-time":"2016-08-17T17:03:30Z","timestamp":1471453410000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":21,"title":["Percolation in binary and ternary mixtures of patchy colloids"],"prefix":"10.1063","volume":"145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1047-9724","authenticated-orcid":false,"given":"Felix","family":"Seiferling","sequence":"first","affiliation":[{"name":"Universit\u00e4t Bayreuth 1 Theoretische Physik II, Physikalisches Institut, , D-95440 Bayreuth, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3219-0518","authenticated-orcid":false,"given":"Daniel","family":"de las Heras","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Bayreuth 1 Theoretische Physik II, Physikalisches Institut, , D-95440 Bayreuth, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8849-9990","authenticated-orcid":false,"given":"Margarida M.","family":"Telo da Gama","sequence":"additional","affiliation":[{"name":"Universidade de Lisboa 2 Departamento de F\u00edsica e Centro de F\u00edsica Te\u00f3rica e Computacional, Faculdade de Ci\u00eancias, , Campo Grande, Lisbon P-1749-016, Portugal"}]}],"member":"317","published-online":{"date-parts":[[2016,8,17]]},"reference":[{"key":"2023072700434094000_c1","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1038\/nmat1949","volume":"6","year":"2007","journal-title":"Nat. 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