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We investigate dynamically and statistically diffusive motion in aKlein-Gordon particle chain in the presence of disorder. In particular, weexamine a low energy (subdiffusive) and a higher energy (self-trapping) caseand verify that subdiffusive spreading is always observed. We then carry out astatistical analysis of the motion in both cases in the sense of the CentralLimit Theorem and present evidence of different chaos behaviors, for variousgroups of particles. Integrating the equations of motion for times as long as$10^9$, our probability distribution functions always tend to Gaussians andshow that the dynamics does not relax onto a quasi-periodic KAM torus and thatdiffusion continues to spread chaotically for arbitrarily long times.

Complex Statistics and Diffusion in Nonlinear Disordered Particle Chains