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We consider a ternary system with three particle types <jats:italic>A<\/jats:italic>, <jats:italic>B<\/jats:italic>, and <jats:italic>C<\/jats:italic>, in which only connections of the type <jats:inline-formula><jats:alternatives><jats:tex-math>$$A-B$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>A<\/mml:mi>\n                    <mml:mo>-<\/mml:mo>\n                    <mml:mi>B<\/mml:mi>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> can be forged, while any other connections with particles of the same type or with <jats:italic>C<\/jats:italic>-particles are forbidden, and for comparison a binary system with two particle types <jats:italic>A<\/jats:italic> and <jats:italic>C<\/jats:italic>, in which only connections of the type <jats:inline-formula><jats:alternatives><jats:tex-math>$$A-A$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>A<\/mml:mi>\n                    <mml:mo>-<\/mml:mo>\n                    <mml:mi>A<\/mml:mi>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> can be formed. We study the breakdown of the percolation in the agglomeration at the bottom of the cylinder with an increasing fraction of <jats:italic>C<\/jats:italic>-particles.<\/jats:p>","DOI":"10.1007\/978-3-031-57430-6_13","type":"book-chapter","created":{"date-parts":[[2024,3,29]],"date-time":"2024-03-29T15:01:50Z","timestamp":1711724510000},"page":"161-174","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Percolation Breakdown in\u00a0Binary and\u00a0Ternary Monodisperse and\u00a0Polydisperse Systems of\u00a0Spherical Particles"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6921-9049","authenticated-orcid":false,"given":"Johannes Josef","family":"Schneider","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3799-9722","authenticated-orcid":false,"given":"Alessia","family":"Faggian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6389-0029","authenticated-orcid":false,"given":"Mathias Sebastian","family":"Weyland","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8260-5211","authenticated-orcid":false,"given":"William David","family":"Jamieson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4672-6806","authenticated-orcid":false,"given":"Jin","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans-Georg","family":"Matuttis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2572-8677","authenticated-orcid":false,"given":"Silvia","family":"Holler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8233-049X","authenticated-orcid":false,"given":"Federica","family":"Casiraghi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5692-3822","authenticated-orcid":false,"given":"Aitor Pati\u00f1o","family":"Diaz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lorena","family":"Cebolla Sanahuja","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5453-2139","authenticated-orcid":false,"given":"Martin Michael","family":"Hanczyc","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3699-4871","authenticated-orcid":false,"given":"Dandolo","family":"Flumini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Eggenberger Hotz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2096-7262","authenticated-orcid":false,"given":"David Anthony","family":"Barrow","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4769-4700","authenticated-orcid":false,"given":"Pantelitsa","family":"Dimitriou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6059-8062","authenticated-orcid":false,"given":"Oliver","family":"Castell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9296-5314","authenticated-orcid":false,"given":"Rudolf Marcel","family":"F\u00fcchslin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,3,30]]},"reference":[{"key":"13_CR1","first-page":"26","volume":"1","author":"AT Annunziato","year":"2008","unstructured":"Annunziato, A.T.: DNA packaging: nucleosomes and chromatin. 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