  Systems with long range interactions display some anomalies when its dynamics
and thermodynamics are studied below certain conditions. Among these anomalies
are the quasi- stationary states, which are exacerbated because of special
initial conditions that are used here. We present in this letter a new
Hamiltonian whose potential is inspired in the two-dipole interaction. An
analytical solution is obtained for the equilibrium in the canonical ensemble
that is coincident with the one obtained from computational simulations.
However, results from this model presents a kind of nonequivalence of ensembles
in long-living states before arriving to equilibrium. Thus, a complete
characterization is made for the nonequilibrium through molecular dynamics. In
which, novel quasi-stationary states are observed due to the long range
interactions.
