Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation

摘要: Statistical mechanics explains many localization phenomena of lattices such as the discrete nonlinear Schrodinger equation. However, numerical simulations show that complete thermalization is rarely achieved. Instead, one observes metastable statistical states are robust when excited locally. This paper investigates thermodynamically where trajectory confined to some part energy shell. The partition function and entropy computed with a perturbation method. method applicable stable states, it allows us give approximative analytic expressions for in thermodynamic state space.