Szczegóły publikacji
Opis bibliograficzny
Relationship between Heider links and Ising spins / Zdzisław BURDA, Maciej WOŁOSZYN, Krzysztof MALARZ, Krzysztof KUŁAKOWSKI // Physical Review . E ; ISSN 2470-0045. — Tytuł poprz.: Physical Review E, Statistical, nonlinear, and soft matter physics ; ISSN: 1539-3755. — 2026 — vol. 113 iss. 6 art. no. L062104, s. L062104-1–L062104–6. — Bibliogr. s. L062104-5–L062104-6, Abstr. — Publikacja dostępna online od: 2026-06-22
Autorzy (4)
Dane bibliometryczne
| ID BaDAP | 168842 |
|---|---|
| Data dodania do BaDAP | 2026-08-06 |
| Tekst źródłowy | URL |
| DOI | 10.1103/gsf3-tjw6 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Physical Review, E |
Abstract
We show that the Heider model with an external field is equivalent, in the limit of structural balance, to the Ising model with nearest-neighbor interactions without an external field. More precisely, we claim that the signs of the Heider relations that maintain structural equilibrium in the system can be represented as nearest-neighbor Ising spin products. We demonstrate this explicitly for a complete graph and provide a general argument for an arbitrary graph. A consequence of the equivalence is that the system of balanced Heider states undergoes a phase transition, inherited from the Ising model, at a critical value of the social field at which the fluctuations of edge magnetization are maximal.
