{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:01:02Z","timestamp":1760058062914,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T00:00:00Z","timestamp":1741910400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Brazilian agencies CNPq"},{"name":"FAPEMIG"},{"name":"Silicon Graphics Internacional (SGI) Altix 1350 system (CENAPAD.UNICAMP-USP, SP-BRAZIL)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The discrete version of the Biswas\u2013Chatterjee\u2013Sen model, defined on D-dimensional hypercubic Solomon networks, with 1\u2264D\u22646, has been studied by means of extensive Monte Carlo simulations. Thermodynamic-like variables have been computed as a function of the external noise probability. Finite-size scaling theory, applied to different network sizes, has been utilized in order to characterize the phase transition of the system in the thermodynamic limit. The results show that the model presents a phase transition of the second order for all considered dimensions. Despite the lower critical dimension being zero, this dynamical system seems not to have any upper critical dimension since the critical exponents change with D and go away from the expected mean-field values. Although larger networks could not be simulated because the number of sites drastically increases with the dimension D, the scaling regime has been achieved when computing the critical exponent ratios and the corresponding critical noise probability.<\/jats:p>","DOI":"10.3390\/e27030300","type":"journal-article","created":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T04:29:18Z","timestamp":1741926558000},"page":"300","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Biswas\u2013Chatterjee\u2013Sen Model Defined on Solomon Networks in (1 \u2264 D \u2264 6)-Dimensional Lattices"],"prefix":"10.3390","volume":"27","author":[{"given":"Gessineide Sousa","family":"Oliveira","sequence":"first","affiliation":[{"name":"Dietrich Stauffer Computational Physics Lab, Departamento de F\u00edsica, Universidade Federal do Piau\u00ed, Teresina 64049-550, PI, Brazil"}]},{"given":"David Santana","family":"Alencar","sequence":"additional","affiliation":[{"name":"Dietrich Stauffer Computational Physics Lab, Departamento de F\u00edsica, Universidade Federal do Piau\u00ed, Teresina 64049-550, PI, Brazil"}]},{"given":"Tayroni Alencar","family":"Alves","sequence":"additional","affiliation":[{"name":"Dietrich Stauffer Computational Physics Lab, Departamento de F\u00edsica, Universidade Federal do Piau\u00ed, Teresina 64049-550, PI, Brazil"}]},{"given":"Jos\u00e9 Ferreira","family":"da Silva Neto","sequence":"additional","affiliation":[{"name":"Dietrich Stauffer Computational Physics Lab, Departamento de F\u00edsica, Universidade Federal do Piau\u00ed, Teresina 64049-550, PI, Brazil"}]},{"given":"Gladstone Alencar","family":"Alves","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual do Piau\u00ed, Teresina 64002-150, PI, Brazil"}]},{"given":"Ant\u00f4nio","family":"Macedo-Filho","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual do Piau\u00ed, Teresina 64002-150, PI, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7623-1361","authenticated-orcid":false,"given":"Ronan S.","family":"Ferreira","sequence":"additional","affiliation":[{"name":"Departamento de Ci\u00eancias Exatas e Aplicadas, Universidade Federal de Ouro Preto, Jo\u00e3o Monlevade 35931-008, MG, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0895-4186","authenticated-orcid":false,"given":"Francisco Welington","family":"Lima","sequence":"additional","affiliation":[{"name":"Dietrich Stauffer Computational Physics Lab, Departamento de F\u00edsica, Universidade Federal do Piau\u00ed, Teresina 64049-550, PI, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5135-1674","authenticated-orcid":false,"given":"Jo\u00e3o Ant\u00f4nio","family":"Plascak","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Centro de Ci\u00eancias Exatas e da Natureza, CCEN, Universidade Federal da Para\u00edba, Cidade Universit\u00e1ria, Jo\u00e3o Pessoa 58051-970, PB, Brazil"},{"name":"Departamento de F\u00edsica, Universidade Federal de Minas Gerais, C. 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