We investigate a multipartite ferromagnetic model without self-interactions between spins of the same party, so that the Hamiltonian is not a definite quadratic form of the magnetisations. We find the free energy and study the phase transition for all zero external fields. Moreover in the bipartite case we analyse the fluctuations of the rescaled magnetisations, below and at the critical point, and we study the phase transitions with non-zero magnetic fields.

Genovese, G., Tantari, D. (2016). Non-Convex Multipartite Ferromagnets. JOURNAL OF STATISTICAL PHYSICS, 163, 492-513 [10.1007/s10955-016-1482-3].

Non-Convex Multipartite Ferromagnets

Tantari, Daniele
2016

Abstract

We investigate a multipartite ferromagnetic model without self-interactions between spins of the same party, so that the Hamiltonian is not a definite quadratic form of the magnetisations. We find the free energy and study the phase transition for all zero external fields. Moreover in the bipartite case we analyse the fluctuations of the rescaled magnetisations, below and at the critical point, and we study the phase transitions with non-zero magnetic fields.
2016
Genovese, G., Tantari, D. (2016). Non-Convex Multipartite Ferromagnets. JOURNAL OF STATISTICAL PHYSICS, 163, 492-513 [10.1007/s10955-016-1482-3].
Genovese, Giuseppe; Tantari, Daniele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/718045
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