000162808 001__ 162808 000162808 005__ 20251017144643.0 000162808 0247_ $$2doi$$a10.1140/epjb/s10051-025-01005-1 000162808 0248_ $$2sideral$$a145337 000162808 037__ $$aART-2025-145337 000162808 041__ $$aeng 000162808 100__ $$0(orcid)0000-0002-6689-214X$$aRivero, Alejandro 000162808 245__ $$aGeometrical distribution of agents based on a generalised Potts model 000162808 260__ $$c2025 000162808 5060_ $$aAccess copy available to the general public$$fUnrestricted 000162808 5203_ $$aIn collective local interaction systems with agents assigned to different profiles (categories, traits), the distribution of such profiles in the neighbourhood of any agent affects the exchange of ideas, a basic element in Collective Intelligence experiments. It is important to control this distribution experimentally, asking for criteria that should range from maximum homogeneity to maximum difference. We suggest a method where we obtain these criteria by adding an extra interaction term to the Q-state Potts model, producing a rich vacuum structure. By controlling the two parameters of the model, we can obtain different patterns for the geometrical distribution of the agents. We study the transitions and phase diagram of this model, considering the physics at constant magnetization, and show that the states correspond to a large diversity of mixing patterns, directly applicable to agent distribution in CI experiments. 000162808 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000162808 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000162808 700__ $$0(orcid)0000-0003-2772-3762$$aTarancón, Alfonso$$uUniversidad de Zaragoza 000162808 700__ $$aTarancón, Carlos 000162808 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000162808 773__ $$g98, 182 (2025), [8 pp.]$$pEur. phys. j., B$$tEuropean Physical Journal. B$$x1434-6028 000162808 8564_ $$s1019776$$uhttps://zaguan.unizar.es/record/162808/files/texto_completo.pdf$$yVersión publicada 000162808 8564_ $$s2721416$$uhttps://zaguan.unizar.es/record/162808/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000162808 909CO $$ooai:zaguan.unizar.es:162808$$particulos$$pdriver 000162808 951__ $$a2025-10-17-14:33:04 000162808 980__ $$aARTICLE