Zusammenfassung
We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field model and perturbed Hamiltonians with anisotropy and on-site potential are studied both analytically and numerically. We find that the initial zero magnetization state remains stable above a critical energy and is unstable below it. In the dynamically
stable state, all of these models exhibit time scales that increase algebraically with the number of particles stressing the robustness of the quasistationary state. In the unstable state, the corresponding time
scale depends logarithmically on $N$.
Nutzer