Metastable states in a class of long-range Hamiltonian systems

We numerically show that metastable states, similar to the quasi-stationary states found in the so-called Hamiltonian Mean Field Model, are also present in a generalized model in which N classical spins (rotators) interact through ferromagnetic couplings decaying as r−α, where r is their distance over a regular lattice. Scaling laws with N are briefly discussed.