Colloquium

Construction of traveling clusters by nonequilibrium statistical mechanics and BGK waves in the HMF model

山口 義幸

4月22日(金) 13時30分

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.