Double Lynden-Bell Structure of Low-Energy Quasi-Stationary   Distributions in the Hamiltonian Mean-Field Model
  In the Hamiltonian mean-field model, we study the core-halo structure of low-energy quasi-stationary states under unsteady water-bag type initial conditions. The core-halo structure results in the superposition of two independent Lynden-Bell distributions. We examine the completeness of the Lynden-Bell relaxation and the relaxation between these two Lynden-Bell distributions. 
Eiji Konishi and Masa-aki Sakagami
cond-mat.stat-mech