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.File in questo prodotto:
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