  The effect of nearest-neighbor coupling on the thermodynamic and dynamical
properties of the ferromagnetic Hamiltonian Mean Field model (HMF) is studied.
For a range of antiferromagnetic nearest-neighbor coupling, a canonical first
order transition is observed, and the canonical and microcanonical ensembles
are non-equivalent. In studying the relaxation time of non-equilibrium states
it is found that as in the HMF model, a class of non-magnetic states is
quasi-stationary, with an algebraic divergence of their lifetime with the
number of degrees of freedom $N$. The lifetime of metastable states is found to
increase exponentially with $N$ as expected.
