In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry i.e. the concentration of the order parameter. When the interaction structure is elliptic we rigorously compute the exact solution of the model in terms of a finite-dimensional variational principle and we study its properties.
Alberici D., Camilli F., Contucci P., Mingione E. (2021). The Multi-species Mean-Field Spin-Glass on the Nishimori Line. JOURNAL OF STATISTICAL PHYSICS, 182(1), 1-20 [10.1007/s10955-020-02684-z].
The Multi-species Mean-Field Spin-Glass on the Nishimori Line
Alberici D.;Camilli F.
;Contucci P.;Mingione E.
2021
Abstract
In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry i.e. the concentration of the order parameter. When the interaction structure is elliptic we rigorously compute the exact solution of the model in terms of a finite-dimensional variational principle and we study its properties.| File | Dimensione | Formato | |
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JSP_contucci.pdf
Open Access dal 03/01/2022
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