Large deviation techniques applied to systems with long-range interactions
Stefano Ruffo


Abstract
We discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by Ellis et al., Physica D 133, 106 (1999), which uses large deviation techniques. We show how it can be adapted to obtain the solution of a large class of simple models, which can show ensemble inequivalence. The model Hamiltonian can have both discrete (Ising, Potts) and continuous (HMF, Free Electron Laser) state variables. We treat both infinite range and slowly decreasing interactions and, in particular, we present the solution of Dyson`s $\alpha$-Ising model in one-dimension with $0\leq \alpha<1$.

---

Elenco dei partecipanti al convegno di Bari.

---