Typical Gibbs configurations for the 1d Random Field Ising Model with long range interaction

Marzio Cassandro, Enza Orlandi, Pierre Picco

We study a one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in [0,\frac 12]$, in the presence of external random fields…