Complex statistics and diffusion in nonlinear disordered particle chains

Journal Article · Sun Jun 15 04:00:00 EDT 2014 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4871477· OSTI ID:22250654

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that subdiffusive spreading is always observed. We then carry out a statistical analysis of the motion, in both cases, in the sense of the Central Limit Theorem and present evidence of different chaos behaviors, for various groups of particles. Integrating the equations of motion for times as long as 10{sup 9}, our probability distribution functions always tend to Gaussians and show that the dynamics does not relax onto a quasi-periodic Kolmogorov-Arnold-Moser torus and that diffusion continues to spread chaotically for arbitrarily long times.

• OSTI ID: 22250654
• Journal Information: Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 2 Vol. 24; ISSN CHAOEH; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
DIFFUSION
DISTRIBUTION FUNCTIONS
EQUATIONS OF MOTION
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
PROBABILITY
STATISTICS
TRAPPING