Colloquium

Yamaguchi Yoshiyuki

April 22th 13:30

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