Construction of traveling clusters in the Hamiltonian mean-field model by nonequilibrium statistical mechanics and Bernstein-Greene-Kruskal waves.

摘要: Traveling clusters are ubiquitously observed in the Hamiltonian mean-field model for a wide class of initial states, which not predicted to become spatially inhomogeneous states by nonequilibrium statistical mechanics and nonlinear Landau damping. To predict such cluster state from given state, we combine construction method Bernstein-Greene-Kruskal (BGK) waves with aid phenomenological assumptions. The theory is partially successful, theoretically constructed good agreement N-body simulations. Robustness also discussed unsuccessful states.