Dynamics of the d-HMF model: Sensitive dependence on size and initial conditions

We characterize the dynamics of systems with type-dipole interactions included in a new Hamiltonian mean field model [proposed by Atenas and Curilef, Phys. Rev. E (2017) 022110]. The sensitivity on the initial conditions is a particular behavior that we try to describe properly using molecular dynamics. We carry out simulations to focus our attention in the primary evolution before reaching the equilibrium. The current anomalies seem to characterize the general behavior of systems with long-range interactions. The dynamics of the system remains in quasi-stationary states before arriving at equilibrium.