Lyapunov Analysis of One-Dimensional Lennard-Jones System

We have already reported energy-dependence of maximum Lyapunov exponent (MLE) in one-dimensional Lennard-Jones (LJ) system. 1), 2) As a result, the energydependence is classified into four characteristic regions as the energy of the system increases: (1) quasiperiodic, (2) weakly chaotic, (3) plateau and (4) strongly chaotic regions. 1) 3) The existence of the plateau region, in which the energy-dependence is insensitive, is a remarkable feature of LJ system, different from Fermi-Pasta-Ulam (FPU) and soft-core system. (See Fig. 1.) In this report, we give the details of the characteristics of dynamical property in the plateau region, by calculating distribution of local MLE with comparing with FPU system.